N,K=map(int,input().split())
ans=1
mod=10**9+7
if N==1:
	print(1)
	exit()

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])

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

    return arr
    
M=K+100    
fact=[1 for _ in range(M+1)]
factinv=[1 for _ in range(M+1)]

a=1
b=1
p=10**9+7
for i in range(M):
  a*=(i+1)
  a%=p
  b*=pow(i+1,p-2,p)
  b%=p
  fact[i+1],factinv[i+1]=a,b
  
def comb(n,k,p):
  return fact[n]*(factinv[k]*factinv[n-k])%p    
    
    
    
L=factorization(N)
for l in L:
	a=l[1]
	s=0
	for i in range(a+1):
		s+=comb(i+K-1,K-1,mod)
	ans*=s
	ans%=mod
print(ans)