def factorization(n: int) -> dict[int, int]:
    arr = dict()
    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[i] = cnt

    if temp != 1:
        arr[temp] = 1

    if not arr and n != 1:
        arr[n] = 1

    return arr


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


def comb(n: int, r: int) -> int:
    res = 1
    for i in range(r):
        res *= n - i
        res *= pow(i + 1, -1, MOD)
        res %= MOD
    return res


ans = 1
fac = factorization(N)
for ct in fac.values():
    tmp = 1
    ans *= comb(ct + K, K)
    ans %= MOD
print(ans)