#include<bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using mint=modint1000000007;
using ll=long long;
using pp=pair<int,int>;
#define sr string 
#define vc vector
#define fi first
#define se second
#define rep(i,n) for(int i=0;i<(int)n;i++)
#define pb push_back
#define all(v) v.begin(),v.end()
#define pque priority_queue
#define bpc(a) __builtin_popcount(a)
int main(){
  int n; ll m; cin>>n>>m;
  vc<int>v;
  for(ll i=2;i*i<=m;i++)if(m%i==0){
    int t=0;
    while(m%i==0)m/=i,t++;
    v.pb(t);
  }
  if(m>1)v.pb(1);
  mint ans=1;
   for(int a:v){
    vc<mint>dp(a+1,0); dp[0]=1;
    rep(z,n){
      vc<mint>pre(a+1,0); swap(pre,dp);
      rep(i,a)pre[i+1]+=pre[i];
      rep(i,a+1)dp[i]=pre[a-i];
    }
    mint res=0;
    rep(i,a+1)res+=dp[i];
    ans*=res;
  }
 // for(int a:v)cout<<a<<' ';
  cout<<ans.val();
}