use std::collections::HashMap;

const MOD: usize = 1e9 as usize + 7;

fn fact_inv(size: usize) -> (Vec<usize>, Vec<usize>) {
    let mut facts = vec![0usize; size+1];
    let mut fact_invs = vec![0usize; size+1];
    let mut invs = vec![0usize; size+1];
    facts[0] = 1;
    facts[1] = 1;
    fact_invs[0] = 1;
    fact_invs[1] = 1;
    invs[1] = 1;
    for i in 2..=size {
        facts[i] = facts[i-1] * i % MOD;
        invs[i] = MOD - invs[MOD % i] * (MOD / i) % MOD;
        fact_invs[i] = fact_invs[i - 1] * invs[i] % MOD;
    }
    (facts, fact_invs)
}

fn comb(n: usize, r: usize, facts: &Vec<usize>, fact_invs: &Vec<usize>) -> usize {
    facts[n] * fact_invs[r] % MOD * fact_invs[n-r] % MOD
}

fn main() {
    let mut nk = String::new();
    std::io::stdin().read_line(&mut nk).ok();
    let nk: Vec<usize> = nk.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let n = nk[0];
    let k = nk[1];

    let mut mapping = HashMap::new();
    let mut target = n;
    for i in 2..=(n as f64).sqrt().floor() as usize {
        while target % i == 0 {
            *mapping.entry(i).or_insert(0usize) += 1;
            target /= i;
        }
    }
    if target > 1 {
        mapping.insert(n, 1);
    }
    let mut result = 1usize;
    let (_, fact_invs) = fact_inv(50);
    for &cnt in mapping.values() {
        let num = (1..=cnt).map(|i| k+i).fold(1usize, |x, y| x * y % MOD);
        result *= num * fact_invs[cnt] % MOD;
        result %= MOD;
    }
    println!("{}", result);
}