using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
using System.Threading;
using System.Runtime.CompilerServices;
using System.Diagnostics;
//using nint=System.Int32;
static class Program{
	const int mod=(int)1e9+7;
	static void Main(){
		Sc sc=new Sc();
		var (n,m)=sc.Tp2<long>();
		var pf=new Pf(n);
		int p=0;
		var li=new List<int>();
		pf.Get((k,v)=>{
			li.Add(v);
			p+=v;
		});
		Cb r=new Cb(100);
		long ans=1;
		for(int j = 0;j<li.Count;j++) {
			long g=0;
			for(int k = 0;k<=li[j];k++) {g+=r.C2(m+k-1,k);}
			ans=ans*g%mod;
		}
		Console.WriteLine("{0}",ans);
		//Console.WriteLine("{0}",string.Join(" ",a));
	}
}
public class Cb{
	private const int mod=(int)1e9+7;
	public long[] r,f,v;
	public Cb(int n){
		r=new long[n];
		f=new long[n];
		v=new long[n];
		r[0]=r[1]=f[0]=f[1]=v[1]=1;
		for(int i=2;i<n;i++){
			r[i]=r[i-1]*i%mod;
			v[i]=mod-v[mod%i]*(mod/i)%mod;
			f[i]=f[i-1]*v[i]%mod;
		}
	}
	public long C1(long n,long k){return r[n]*(f[k]*f[n-k]%mod)%mod;}
	public long C2(long n,long k){
		long l=1;
		n%=mod;
		for(int i=1;i<=k;i++){l=l*(n-i+1)%mod;l=l*v[i]%mod;}
		return l;
	}
	public long C3(long n,long k){return (r[n]*Mi(r[k]*r[n-k]))%mod;}
	public long P1(long n,long k){return n>=k?r[n]*Mi(r[n-k])%mod:0;}
	public long Mi(long a){
		a=(a+mod)%mod;
		long b=mod,u=1,v=0;
		while(b>0){long t=a/b;a-=t*b;(a,b)=(b,a);u-=t*v;(u,v)=(v,u);}
		u%=mod;
		if(u<0){u+=mod;}
		return u%mod;
	}
}
public class Pf{
	public Dictionary<long,int> hs=new Dictionary<long,int>();
	public Pf(long n){
		if(n%2==0){
			int p=0;
			while((n&1)==0){n>>=1;p++;}
			hs.Add(2,p);
		}
		var q=(int)Sqrt(n)+1;
		for(int i=3;n!=1&&i<q;i+=2){
			if(n%i==0){
				int p=0;
				while(n%i==0){n/=i;p++;}
				q=(int)Sqrt(n)+1;
				hs.Add(i,p);
			}
		}
		if(n!=1){hs.Add(n,1);}
	}
	public void Get(Action<long,int> f){
		foreach(var e in hs){f(e.Key,e.Value);}
	}
}
public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),int.Parse);}
	public int[] Ia3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),long.Parse);}
	public long[] La3(int a){return Array.ConvertAll((Console.ReadLine()+" "+a.ToString()).Split(),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),double.Parse);}}
	public double[] Da3(string a,string b){return Array.ConvertAll((a+Console.ReadLine()+b).Split(),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
	public (T,T) Tp2<T>(){var s=Console.ReadLine().Split();return (Ct<T>(s[0]),Ct<T>(s[1]));}
	public (T,T,T) Tp3<T>(){var s=Console.ReadLine().Split();return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]));}
	public (T,T,T,T) Tp4<T>(){var s=Console.ReadLine().Split();return (Ct<T>(s[0]),Ct<T>(s[1]),Ct<T>(s[2]),Ct<T>(s[3]));}
	public (T1,T2) Tp2<T1,T2>(){var s=Console.ReadLine().Split();return (Ct<T1>(s[0]),Ct<T2>(s[1]));}
	public (T1,T1,T2) Tp3<T1,T2>(){var s=Console.ReadLine().Split();return (Ct<T1>(s[0]),Ct<T1>(s[1]),Ct<T2>(s[2]));}
	private T Ct<T>(string s){return (T)Convert.ChangeType(s,typeof(T));}
}