mod=10**9+7


#####################
def mul(a,b):
    n=len(a)
    m=len(b[0])
    res=[[0]*m for i in range(n)]
    for i in range(n):
        for j in range(m):
            for k in range(len(a[0])):
                res[i][j]+=a[i][k]*b[k][j]
                res[i][j]%=mod
    return res
def mpow(a,n):
    N = len(a)
    if n == 0:
        res = [[0] * N for i in range(N)]
        for i in range(N):
            res[i][i] = 1
        return res
    if n==1:return a
    res=mpow(a,n//2)
    res=mul(res,res)
    if n%2==1:
        res=mul(res,a)
    return res


def det(A):
    a=[]
    for line in A:
        a.append(line[:])

    n=len(a)
    f=1
    for now in range(n):
        ind=-1
        for i in range(now,n):
            a[i][now]%=mod
            if a[i][now]>0:
                ind=i
                break
        if ind==-1:return 0
        a[now],a[ind]=a[ind],a[now]
        if now!=ind:f*=-1
        f=f*a[now][now]%mod
        inv=pow(a[now][now],mod-2,mod)
        for j in range(now,n):
            a[now][j]*=inv
            a[now][j]%=mod
        for i in range(now+1,n):
            x=a[i][now]
            for j in range(now,n):
                a[i][j]-=a[now][j]*x
                a[i][j]%=mod
    for i in range(n):
        f*=a[i][i]
        f%=mod
    return f


def minv(A):
    n=len(A)
    if det(A)==0:return -1
    a=[]
    for i in range(n):
        e=[0]*n
        e[i]=1
        a.append(A[i][:]+e)
    for now in range(n):
        ind = -1
        for i in range(now, n):
            a[i][now] %= mod
            if a[i][now] > 0:
                ind = i
                break
        if ind == -1: return -1
        a[now], a[ind] = a[ind], a[now]
        inv = pow(a[now][now], mod - 2, mod)
        for j in range(now, 2*n):
            a[now][j] *= inv
            a[now][j] %= mod
        for i in range(now + 1, n):
            x = a[i][now]
            for j in range(now, 2*n):
                a[i][j] -= a[now][j] * x
                a[i][j] %= mod
    for now in range(n-1,-1,-1):
        for i in range(now-1,-1,-1):
            x=a[i][now]
            for j in range(2*n):
                a[i][j]-=a[now][j]*x
                a[i][j]%=mod
    res=[]
    for l in a:res.append(l[n:])
    return res


#######################



from _collections import defaultdict
n,m=map(int,input().split())
x=m
d=defaultdict(int)
for p in range(2,m+1):
    if p**2>x:break
    while x%p==0:
        x//=p
        d[p]+=1
if x>1:d[x]+=1

ans=1
for p in d:
    k=d[p]
    a=[[0]*(k+1) for i in range(k+1)]
    for x in range(k+1):
        for y in range(k+1):
            if x+y<=k:
                a[x][y]+=1
    dp=[[0] for i in range(k+1)]
    dp[0][0]=1
    a=mpow(a,n)
    dp=mul(a,dp)
    res=0
    for x in range(k+1):
        res+=dp[x][0]
    ans*=res
    ans%=mod
print(ans)