import sys

sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = 10**16
# md = 998244353
md = 10**9+7

def nCr(com_n, com_r):
    if com_r < 0: return 0
    if com_n < com_r: return 0
    res = 1
    for i in range(com_n, com_n-com_r, -1):
        res = res*i%md
    return res*ifac[com_r]%md

# 準備
n_max = 200005
fac = [1]
for i in range(1, n_max+1): fac.append(fac[-1]*i%md)
ifac = [1]*(n_max+1)
ifac[n_max] = pow(fac[n_max], md-2, md)
for i in range(n_max-1, 1, -1): ifac[i] = ifac[i+1]*(i+1)%md

def PrimeFactorization(x):
    def plist(x):
        if x < 2: return []
        if x & 1 == 0: return [2]+plist(x >> 1)
        for p in range(3, x+1, 2):
            if x%p == 0: return [p]+plist(x//p)
            if p**2 > x: return [x]

    pl = plist(x)
    pp, ee = [], []
    for p in pl:
        if not pp or p != pp[-1]:
            pp += [p]
            ee += [0]
        ee[-1] += 1
    return ee

n, k = LI()
ee = PrimeFactorization(n)
ans = 1
for e in ee:
    ans = ans*nCr(k+e, e)%md

print(ans)