#include <bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define FOR(i,n,m) for(int i=(int)(n); i<=(int)(m); i++)
#define RFOR(i,n,m) for(int i=(int)(n); i>=(int)(m); i--)
#define ITR(x,c) for(__typeof(c.begin()) x=c.begin();x!=c.end();x++)
#define RITR(x,c) for(__typeof(c.rbegin()) x=c.rbegin();x!=c.rend();x++)
#define setp(n) fixed << setprecision(n)

template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }

#define ll long long
#define vll vector<ll>
#define vi vector<int>
#define pll pair<ll,ll>
#define pi pair<int,int>

#define all(a) (a.begin()),(a.end())
#define rall(a) (a.rbegin()),(a.rend())
#define fi first
#define se second
#define pb push_back
#define ins insert

#define debug(a) cerr<<(a)<<endl
#define dbrep(a,n) rep(_i,n) cerr<<(a[_i])<<" "; cerr<<endl
#define dbrep2(a,n,m) rep(_i,n){rep(_j,m) cerr<<(a[_i][_j])<<" "; cerr<<endl;}

using namespace std;

template<class A, class B>
ostream &operator<<(ostream &os, const pair<A,B> &p){return os<<"("<<p.fi<<","<<p.se<<")";}
template<class A, class B>
istream &operator>>(istream &is, pair<A,B> &p){return is>>p.fi>>p.se;}

template<class T>
vector<T> make_vec(size_t a){
	return vector<T>(a);
}
template<class T, class... Ts>
auto make_vec(size_t a, Ts... ts){
	return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}

//-------------------------------------------------
//--ModInt
//-------------------------------------------------
const uint_fast64_t MOD = 1e9+7;

class mint
{
private:
    using Value = uint_fast64_t;
    Value n;
public:
    mint():n(0){}
    mint(int_fast64_t _n):n(_n<0 ? MOD-(-_n)%MOD : _n%MOD){}
    mint(const mint &m):n(m.n){}

    friend ostream& operator<<(ostream &os, const mint &a){
		return os << a.n;
	}
    friend istream& operator>>(istream &is, mint &a){
        Value temp; is>>temp;
        a = mint(temp);
        return is;
    }

    mint& operator+=(const mint &m){n+=m.n; n=(n<MOD)?n:n-MOD; return *this;}
    mint& operator-=(const mint &m){n+=MOD-m.n; n=(n<MOD)?n:n-MOD; return *this;}
    mint& operator*=(const mint &m){n=n*m.n%MOD; return *this;}
    mint& operator/=(const mint &m){return *this*=m.inv();}
    mint& operator++(){return *this+=1;}
    mint& operator--(){return *this-=1;}

    mint operator+(const mint &m) const {return mint(*this)+=m;}
    mint operator-(const mint &m) const {return mint(*this)-=m;}
    mint operator*(const mint &m) const {return mint(*this)*=m;}
    mint operator/(const mint &m) const {return mint(*this)/=m;}
    mint operator++(int){mint t(*this); *this+=1; return t;}
    mint operator--(int){mint t(*this); *this-=1; return t;}

    bool operator==(const mint &m) const {return n==m.n;}
    bool operator!=(const mint &m) const {return n!=m.n;}
    mint operator-() const {return mint(MOD-n);}

    mint pow(Value b) const {
        mint ret(1), m(*this);
        while(b){
            if (b & 1) ret*=m;
            m*=m;
            b>>=1;
        }
        return ret;
    }

    mint inv() const {return pow(MOD-2);}
};

//-------------------------------------------------
//--Combination (depends on ModInt)
//-------------------------------------------------
class Combination
{
private:
    ::std::vector<mint> _fact;
    ::std::vector<mint> _finv;
public:
    Combination(int n):_fact(n+1), _finv(n+1){
        _fact[0] = _fact[1] = 1;
        _finv[0] = _finv[1] = 1;
        for(int i=2; i<=n; i++){
            _fact[i] = _fact[i-1]*i;
            _finv[i] = _fact[i].inv();
        }
    }
    mint fact(int x){return _fact[x];}
    mint finv(int x){return _finv[x];}
    mint comb(int x, int y){
        if (y>x || y<0) return 0;
        return _fact[x]*_finv[y]*_finv[x-y];
    }
    mint homo(int x, int y){return comb(x+y-1, y);}
};

//-------------------------------------------------
//--Enum various numbers
//-------------------------------------------------
namespace Enum
{
    using fint = ::std::int_fast64_t;
    //素因数分解(素因数列挙)
    map<fint,int> factor(fint n)
    {
        map<fint,int> ret;
        for(fint i=2; i*i<=n; i++){
            while(n%i==0){
                ret[i]++;
                n/=i;
            }
        }
        if (n!=1) ret[n]++;
        return ret;
    }
    //約数列挙
    vector<fint> divisor(fint n)
    {
        vector<fint> ret;
        for(fint i=1; i*i<=n; i++){
            if (n%i==0){
                ret.push_back(i);
                if (i*i!=n) ret.push_back(n/i);
            }
        }
        return ret;
    }
    //商列挙(割る最小の数と商のペア)
    vector<pair<fint,fint> > quotient(fint n)
    {
        vector<pair<fint,fint> > ret;
        fint i=0;
        for(i=1; i*i<=n; i++){
            ret.emplace_back(i,n/i);
        }
        for(; i<=n; i++){
            fint d = n/i;
            ret.emplace_back(i,d);
            i+=(n-d*i)/d;
        }
        return ret;
    }
    //素数判定(おまけ)
    bool isprime(fint n)
    {
        for(fint i=2; i*i<=n; i++){
            if (n%i==0) return false;
        }
        return true;
    }
}

//-------------------------------------------------

int main(void)
{
    cin.tie(0);
    ios::sync_with_stdio(false);
	ll N,K; cin>>N>>K;
	
	Combination bn(K+100);

	mint ans = 1;

	auto facts = Enum::factor(N);
	for(auto e:facts){
		if (e.se==1) ans *= K+1;
		else {
			ans *= bn.comb(K+e.se, K);
		}
	}

	cout<<ans<<"\n";

    return 0;
}