use std::collections::HashMap;
use std::io::Write;
/* ----------------------------------------------- */

fn d(m: usize) -> Vec<usize> {
    let mut y = m;
    let mut v = Vec::<usize>::with_capacity(30);
    for x in 2..(m as f64).sqrt() as usize + 5 {
        if y % x == 0 {
            let mut c = 0;
            while y % x == 0 {
                y /= x;
                c += 1;
            }
            v.push(c);
        }
    }
    if y > 1 {
        v.push(1);
    }
    return v;
}

fn mul(a: &Vec<Vec<i64>>, b: &Vec<Vec<i64>>, md: i64) -> Vec<Vec<i64>> {
    let h = a.len();
    let w = b[0].len();
    let p = a[0].len();
    let mut ret = vec![vec![0; w]; h];
    for i in 0..h {
        for j in 0..w {
            for k in 0..p {
                ret[i][j] += (a[i][k] * b[k][j]) % md;
                if ret[i][j] >= md {
                    ret[i][j] -= md;
                }
            }
        }
    }
    return ret;
}

fn dp(n: usize, size: usize, md: i64) -> i64 {
    let mut mat = vec![vec![0; size + 1]; size + 1];
    for i in 0..mat.len() {
        for j in 0..mat[0].len() - i {
            mat[i][j] = 1;
        }
    }

    let mut val = vec![vec![0; mat.len()]; mat[0].len()];
    for i in 0..mat.len() {
        val[i][i] = 1;
    }

    let mut k = n - 1;
    while k > 0 {
        if k & 1 == 1 {
            val = mul(&val, &mat, md);
        }
        mat = mul(&mat, &mat, md);
        k >>= 1;
    }

    let cor: Vec<i64> = val
        .into_iter()
        .reduce(|ac, it| ac.into_iter().zip(it).map(|(a, b)| (a + b) % md).collect())
        .unwrap();

    return cor.iter().sum::<i64>() % md;
}

fn run<W: Write>(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter<W>) {
    let md: i64 = 1000000007;
    let n: usize = sc.next();
    let m: usize = sc.next();

    let mut ans = 1;
    let mut map = HashMap::<usize, i64>::new();
    for x in d(m) {
        let p = map.entry(x).or_insert(0);
        if *p == 0 {
            *p = dp(n, x, md);
        }
        ans *= *p;
        ans %= md;
    }
    writeln!(out, "{}", ans).ok();
}

/* ----------------------------------------------- */
#[allow(dead_code)]
mod scanner {
    use std::str::FromStr;
    pub struct Scanner<'a> {
        it: std::str::SplitWhitespace<'a>,
    }
    impl<'a> Scanner<'a> {
        pub fn new(s: &'a String) -> Scanner<'a> {
            Scanner {
                it: s.split_whitespace(),
            }
        }
        pub fn next<T: FromStr>(&mut self) -> T {
            self.it.next().unwrap().parse::<T>().ok().unwrap()
        }
        pub fn next_bytes(&mut self) -> Vec<u8> {
            self.it.next().unwrap().bytes().collect()
        }
        pub fn next_chars(&mut self) -> Vec<char> {
            self.it.next().unwrap().chars().collect()
        }
        pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
            (0..len).map(|_| self.next()).collect()
        }
    }
}
/* ----------------------------------------------- */
fn main() {
    use std::io::Read;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut sc = scanner::Scanner::new(&s);
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    run(&mut sc, &mut out);
}
/* ----------------------------------------------- */