#[allow(unused_imports)]
use std::cmp::{min,max};
#[allow(unused_imports)]
use std::collections::{BTreeMap,BTreeSet};
#[allow(unused_imports)]
use std::ops::*;
#[allow(unused_imports)]
use std::collections::BinaryHeap;

#[allow(unused_macros)]
macro_rules! tf {
    ($c:expr, $t:expr, $f:expr) => {{
        if $c { $t } else { $f }
    }};
}

fn prime_factorization(x: i64) -> Vec<(i64,i64)> {
    let mut x = x;
    let mut res = vec![];
    for i in 2.. {
        if i * i > x {
            break;
        }
        let mut n = 0;
        while x % i == 0 {
            x /= i;
            n += 1;
        }
        if n != 0 {
            res.push((i,n));
        }
    }
    if x != 1 {
        res.push((x,1));
    }
    res
}

fn main() {
    let (n,m) = {
        let xs = read_vec_i64();
        (xs[0] as usize, xs[1] as usize)
    };
    let fact = {
        let mut res = vec![Mod(1); 200000];
        for i in 1..2*n {
            res[i] = res[i-1] * Mod(i as u64);
        }
        res
    };
    let ps = prime_factorization(m as i64);
    let mut res = Mod(1);
    for &(p,a) in &ps {
        let s = (a as usize + n - 1) as usize;
        let t = a as usize;
        res *= fact[s] / (fact[s-t] * fact[t]);
    }
    println!("{}", res.0);
}

const MOD : u64 = 1_000_000_007;
#[derive(Clone,Copy,PartialEq,Debug)]
struct Mod (u64);

impl Mod {
    fn pow(self, n: u64) -> Mod {
        if n == 0 {
            return Mod(1);
        }
        let t = self.pow(n/2);
        if n % 2 == 0 {
            t * t
        }
        else {
            t * t * self
        }
    }
}

impl Add for Mod {
    type Output = Self;
    fn add(self, rhs: Self) -> Self::Output {
        Mod((self.0 + rhs.0) % MOD)
    }
}

impl AddAssign for Mod {
    fn add_assign(&mut self, rhs: Self) {
        *self = *self + rhs;
    }
}

impl Sub for Mod {
    type Output = Self;
    fn sub(self, rhs: Self) -> Self::Output {
        Mod((self.0 + MOD - rhs.0 % MOD) % MOD)
    }
}

impl SubAssign for Mod {
    fn sub_assign(&mut self, rhs: Self) {
        *self = *self - rhs;
    }
}

impl Neg for Mod {
    type Output = Mod;
    fn neg(self) -> Mod {
        Mod(MOD - self.0)
    }
}

impl Mul for Mod {
    type Output = Self;
    fn mul(self, rhs: Self) -> Self::Output {
        Mod(self.0 % MOD * rhs.0 % MOD)
    }
}

impl MulAssign for Mod {
    fn mul_assign(&mut self, rhs: Self) {
        *self = *self * rhs;
    }
}

impl Div for Mod {
    type Output = Self;
    fn div(self, rhs: Self) -> Self::Output {
        self * rhs.pow(MOD-2)
    }
}

#[allow(dead_code)]
fn read_line() -> String {
    let mut ret = String::new();
    std::io::stdin().read_line(&mut ret).ok();
    ret.pop();
    //ret.pop();
    return ret;
}

#[allow(dead_code)]
fn read_i64() -> i64 {
    let ss = read_line();
    return ss.parse::<i64>().unwrap();
}

#[allow(dead_code)]
fn read_vec_i64() -> Vec<i64> {
    let mut res = vec![];
    let ss = read_line();
    for ts in ss.split_whitespace() {
        let x = ts.parse::<i64>().unwrap();
        res.push(x);
    }
    return res;
}

use std::fmt::Display;
#[allow(dead_code)]
fn write_vec<T: Display>(xs: &Vec<T>) {
    if xs.len() == 0 {
        println!("");
        return;
    }
    print!("{}", xs[0]);
    for i in 1..xs.len() {
        print!(" {}", xs[i]);
    }
    println!("");
}


Measured memory_bytes: 6396