13456128 has 72 divisors (see below), whose sum is σ = 40945408. Its totient is φ = 3843072.

The previous prime is 13456109. The next prime is 13456151. The reversal of 13456128 is 82165431.

It is a junction number, because it is equal to n+sod(n) for n = 13456095 and 13456104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4125 + ... + 6627.

Almost surely, 2^13456128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13456128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20472704).

13456128 is an abundant number, since it is smaller than the sum of its proper divisors (27489280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13456128 is an equidigital number, since it uses as much as digits as its factorization.

13456128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2515 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 13456128 is about 3668.2595328030. The cubic root of 13456128 is about 237.8519428460.

It can be divided in two parts, 1345612 and 8, that added together give a triangular number (1345620 = T₁₆₄₀).

The spelling of 13456128 in words is "thirteen million, four hundred fifty-six thousand, one hundred twenty-eight".