N, K = map(int, input().split())
MOD = 10 ** 9 + 7


def comb(n, k):
    ans = 1
    for i in range(1, k + 1):
        ans *= (n - i + 1) * pow(i, MOD - 2, MOD)
        ans %= MOD
    return ans


def factorization(n):
    arr = []
    temp = n
    for i in range(2, int(-(-(n ** 0.5) // 1)) + 1):
        if temp % i == 0:
            cnt = 0
            while temp % i == 0:
                cnt += 1
                temp //= i
            arr.append([i, cnt])

    if temp != 1:
        arr.append([temp, 1])

    return arr


facts = factorization(N)

ans = 1
for p, e in facts:
    ans *= comb(K + e, e)
    ans %= MOD

print(ans)