from collections import Counter


def prime_factorize(n: int) -> list:
    res = []

    while n % 2 == 0:
        res.append(2)
        n //= 2

    f = 3

    while f ** 2 <= n:
        if n % f == 0:
            res.append(f)
            n //= f
        else:
            f += 2

    if n != 1:
        res.append(n)

    return res

mod = 10 ** 9 + 7
class Combinatorics:
    def __init__(self, n: int) -> None:
        self.n = n
        self.fa = [1] * (self.n * 2 + 1)
        self.fi = [1] * (self.n * 2 + 1)

        for i in range(1, self.n * 2 + 1):
            self.fa[i] = self.fa[i - 1] * i % mod

        self.fi[-1] = pow(self.fa[-1], mod - 2, mod)

        for i in range(self.n * 2, 0, -1):
            self.fi[i - 1] = self.fi[i] * i % mod

    def comb(self, n: int, r: int) -> int:
        if n < r:return 0
        if n < 0 or r < 0:return 0
        return self.fa[n] * self.fi[r] % mod * self.fi[n - r] % mod

    def perm(self, n: int, r: int) -> int:
        if n < r:return 0
        if n < 0 or r < 0:return 0
        return self.fa[n] * self.fi[n - r] % mod
        
    def combr(self, n: int, r: int) -> int:
        if n == r == 0:return 1
        return self.comb(n + r - 1, r)

C = Combinatorics(10 ** 6)
n, k = map(int, input().split())
c = Counter(prime_factorize(n))
ans = 1
for _, v in c.items():
    ans *= C.comb(k + v, k)
    ans %= mod
print(ans)