from collections import Counter



def prime_factorize(n):
    primes = []
    while not n % 2:
        primes.append(2)
        n //= 2
    while not n % 3:
        primes.append(3)
        n //= 3
    for p in range(5, int(n**0.5)+1, 6):
        while not n % p:
            primes.append(p)
            n //= p
        while not n % (p+2):
            primes.append(p+2)
            n //= (p+2)
    if n != 1:
        primes.append(n)
    return primes

def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return g1[n] * g2[r] * g2[n-r] % mod

mod = 10**9+7 #出力の制限
N = 10**4
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, N + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

N, K = map(int, input().split())
factors = Counter(prime_factorize(N))
ans, MOD = 1, 10**9+7
for key, value in factors.items():
    tmp = 0
    for i in range(value+1):
        tmptmp = 1
        for k in range(K-1+i, K-1, -1):
            tmptmp *= k
            tmptmp %= mod
        tmp += tmptmp*g2[i] if i != 0 else 1
        tmp %= mod
    ans *= tmp
    ans %= mod
print(ans)