#include<atcoder/all>
#include<bits/stdc++.h>
using namespace atcoder;
using namespace std;
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define fin(a) return pt(a)
#define rep(i,n) for(ll i=0;i<(ll)(n);i++)
using ll=long long;
using ld=long double;
using v1=vector<ll>;
using v2=vector<v1>;
using v3=vector<v2>;
using v4=vector<v3>;
using pll=pair<ll,ll>;
using mll=map<ll,ll>;
ll inf=3e18;
ld pi=acos(-1);
ld eps=1e-10;
template<class T>using max_priority_queue=std::priority_queue<T>;
template<class T>using min_priority_queue=std::priority_queue<T,vector<T>,greater<T>>;
template<class T>bool chmax(T&a,const T&b){return a<b?a=b,1:0;}
template<class T>bool chmin(T&a,const T&b){return a>b?a=b,1:0;}
template<class T>T max(const vector<T>&a){return *max_element(all(a));}
template<class T>T min(const vector<T>&a){return *min_element(all(a));}
template<class T>T sum(const vector<T>&a){return accumulate(all(a),T(0));}
template<class T>T popcnt(T a){return __builtin_popcountll(a);}
template<class T>ll lbp(const vector<T>&a,const T&b){return lower_bound(all(a),b)-a.begin();}
template<class T>ll ubp(const vector<T>&a,const T&b){return upper_bound(all(a),b)-a.begin();}
template<class T>pll mima(const T&a,const T&b){return {min(a,b),max(a,b)};}
template<class T>void sort(vector<T>&v){sort(all(v));}
template<class T,class F>void sort(vector<T>&v,const F&f){sort(all(v),f);}
template<class T>void rev(vector<T>&v){reverse(all(v));}
template<class T>void usort(vector<T>&v){sort(all(v));v.erase(unique(all(v)),v.end());}
ostream&operator<<(ostream&os,const modint1000000007&x){return os<<x.val();}
ostream&operator<<(ostream&os,const modint998244353&x){return os<<x.val();}
ostream&operator<<(ostream&os,const modint&x){return os<<x.val();}
template<class T1,class T2>istream&operator>>(istream&is,pair<T1,T2>&p){return is>>p.first>>p.second;}
template<class T1,class T2>ostream&operator<<(ostream&os,const pair<T1,T2>&p){return os<<p.first<<" "<<p.second;}
template<class T>istream&operator>>(istream&is,vector<T>&v){for(T&x:v)is>>x;return is;}
template<class T>ostream&operator<<(ostream&os,const vector<T>&v){rep(i,v.size())os<<v[i]<<(i+1==(ll)v.size()?"":" ");return os;}
template<class...A>ll pt_rest(){cout<<'\n';return 0;}
template<class...A>ll pt(){cout<<'\n';return 0;}
template<class T,class...A>ll pt_rest(const T&first,const A&...rest){cout<<" "<<first;pt_rest(rest...);return 0;}
template<class T,class...A>ll pt(const T&first,const A&...rest){cout<<first;pt_rest(rest...);return 0;}
template<class V,class H>void resize(vector<V>&vec,const H head){vec.resize(head);}
template<class V,class H,class...T>void resize(vector<V>&vec,const H&head,const T...tail){vec.resize(head);for(auto&v:vec)resize(v,tail...);}
template<class V,class T>void fill(V&x,const T&val){x=val;}
template<class V,class T>void fill(vector<V>&vec,const T&val){for(auto&v:vec)fill(v,val);}
template<class H>void vin(istream&is,const ll idx,vector<H>&head){is>>head[idx];}
template<class H,class...T>void vin(istream&is,const ll idx,vector<H>&head,T&...tail){vin(is>>head[idx],idx,tail...);}
template<class H,class...T>void vin(istream&is,vector<H>&head,T&...tail){rep(i,head.size())vin(is,i,head,tail...);}
template<class H,class...T>void vin(vector<H>&head,T&...tail){vin(cin,head,tail...);}
template<class H>void sin(istream&is,H&head){is>>head;}
template<class H,class...T>void sin(istream&is,H&head,T&...tail){sin(is>>head,tail...);}
template<class H,class...T>void sin(H&head,T&...tail){sin(cin,head,tail...);}
template<class T>void printv2(vector<vector<T>>&a){rep(i,a.size()){rep(j,a[0].size())cout<<a[i][j]<<" ";pt();}}
v1 divisor(ll n){mll m;for(ll i=1;i*i<=n;i++){if(n%i==0){m[i]++;m[n/i]++;}}v1 v;for(auto[x,_]:m)v.emplace_back(x);return v;}
mll factor(ll n){mll m;for(ll i=2;i*i<=n;i++){while(n%i==0){m[i]++;n/=i;}}if(n>1)m[n]++;return m;}
ll lpow(ll x,ll n,ll m=0){ll r=1;while(n>0){if(n&1){r*=x;if(m)r%=m;}x*=x;if(m)x%=m;n>>=1;}return r;}
ll lsqrt(ll x){assert(x>=0);if(x<=1)return x;ll r=sqrt(x)-1;while(r+1<=x/(r+1))r++;return r;}
ll llog2(ll n){ll r=0;while(n){n>>=1;r++;}return r;}
ll bit(ll n){return 1LL<<n;}
v1 dx={0,-1,0,1},dy={-1,0,1,0};
using mint=modint1000000007;
using S=ll;
S op(S a,S b){return a+b;}
S e(){return 0;}

int main(void){
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  
  ll N,M;sin(N,M);
  
  using mint=modint1000000007;
  mint ans=1;
  
  mll fact=factor(M);
  for(auto[_,L]:fact){
    vector<vector<mint>>dp;resize(dp,N+1,L+1);
    dp[0][0]=1;
    rep(i,N)rep(j,L+1)rep(k,L-j+1)dp[i+1][j+k]+=dp[i][j];
    ans*=sum(dp[N]);
  }
  pt(ans);
}