N,K=map(int, input().split())
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
n=10**6
inv_t=[0]+[1]
for i in range(2,n):
  inv_t+=[inv_t[mod%i]*(mod-int(mod/i))%mod]

kai=[1,1]
rev_kai=[1,inv_t[1]]
for i in range(2,n):
  kai.append(kai[-1]*i%mod)
  rev_kai.append(rev_kai[-1]*inv_t[i]%mod)

def cmb(n,r):
  return kai[n]*rev_kai[r]*rev_kai[n-r]%mod

A=factorization(N) 
#print(A)
ans=1
for a,b in A:
  cnt=1
  d=1
  #素因数aをi回使い、分配するとき
  for i in range(1,b+1):
    d*=(K+i-1)
    d//=(i)
    cnt+=d
  ans*=cnt
  ans%=mod
print(ans)