N,K = map(int,input().split())
import sys

if N == 1:
    print(1)
    exit()

C = 10 ** 6
dat = [0] * C
from collections import defaultdict
d = defaultdict(int)
for i in range(2,C):
    if dat[i] == 0:
        for j in range(2 * i,C,i):
            dat[j] = 1
        if N % i == 0:
            while N % i == 0:
                N //= i
                d[i] += 1
P = 10 ** 9 + 7
fact = [1] * 100
fact_inv = [1] * 100
for i in range(2,100):
    fact[i] = fact[i-1] * i % P
fact_inv[-1] = pow(fact[-1],P-2,P)
for i in range(98,0,-1):
    fact_inv[i] = fact_inv[i+1] * (i + 1) % P
ans = 1
def h(n,k):
    ans = 1
    u = n + k -1
    for i in range(n):
        ans = ans * (u - i) % P
    ans = ans * fact_inv[n] % P
    return ans
for v in d.values():
    ans = ans * h(v,K+1) % P
print(ans)