import sys
from collections import defaultdict, Counter, deque
from itertools import permutations, combinations, product, combinations_with_replacement, groupby, accumulate
import operator
from math import sqrt, gcd, factorial
#from math import isqrt, prod, comb  #python3.8用(notpypy)
#from bisect import bisect_left, bisect_right
#from functools import lru_cache, reduce
#from heapq import heappush, heappop, heapify, heappushpop, heapreplace
#import numpy as np
#import networkx as nx
#from networkx.utils import UnionFind
#from numba import njit, b1, i1, i4, i8, f8
#numba例 @njit(i1(i4[:], i8[:, :]),cache=True) 引数i4配列、i8 2次元配列,戻り値i1
#from scipy.sparse import csr_matrix
#from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, NegativeCycleError, maximum_bipartite_matching, maximum_flow, minimum_spanning_tree
def input(): return sys.stdin.readline().rstrip()
def divceil(n, k): return 1+(n-1)//k  # n/kの切り上げを返す
def yn(hantei, yes='Yes', no='No'): print(yes if hantei else no)

def prime_factorization(m):  # 素因数分解
    pf = {}
    for i in range(2, int(m**0.5)+1):
        while m % i == 0:
            pf[i] = pf.get(i, 0)+1
            m //= i
    if m > 1:
        pf[m] = 1
    return pf

def main():
    mod = 10**9+7
    mod2 = 998244353
    check=defaultdict(lambda:1)
    n,k=map(int, input().split())
    k+=1
    for i in range(1,100):
        for j in range(100):
            check[(k+j,i)]=(check[(k+j,i-1)]*(k+j-i+1)*pow(i,-1,mod))%mod
    ans=1
    for key,v in prime_factorization(n).items():
        ans*=check[(k+v-1,v)]
        ans%=mod
    print(ans)


    


if __name__ == '__main__':
    main()