#include <bits/stdc++.h>
#include <boost/multiprecision/cpp_int.hpp>
using namespace std;
namespace mp = boost::multiprecision;

int main(){
    mp::cpp_int mod=1000000007;
    mp::cpp_int N,K;
    cin>>N>>K;
    vector<int> prime(0);
    int upper=(int)sqrt(N)+1;
    for(int i=2;i<=upper;++i){
        if(N%i==0){
            prime.push_back(0);
            while(N%i==0){
                N/=i;
                ++prime[prime.size()-1];
            }
        }
    }
    if(N>1){
        prime.push_back(1);
    }
    mp::cpp_int ans=1;
    for(int i:prime){
        mp::cpp_int temp1=1,temp2=1;
        for(int j=1;j<=i;++j){
            temp1=(temp1*(j+K))%mod;
            temp2=(temp2*j)%mod;
        }
        mp::cpp_int remain=mod-2;
        mp::cpp_int d=1;
        while(remain){
            if(remain%2){
                d=(d*temp2)%mod;
            }
            remain/=2;
            temp2=(temp2*temp2)%mod;
        }
        temp1=(temp1*d)%mod;
        ans=(ans*temp1)%mod;
    }
    cout<<((int)ans)<<endl;
}