256538144 has 24 divisors (see below), whose sum is σ = 521353728. Its totient is φ = 124130880.

The previous prime is 256538099. The next prime is 256538167. The reversal of 256538144 is 441835652.

It is a super-5 number, since 5×256538144⁵ (a number of 43 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256538098 and 256538107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128312 + ... + 130295.

It is an arithmetic number, because the mean of its divisors is an integer number (21723072).

Almost surely, 2^256538144 is an apocalyptic number.

It is an amenable number.

256538144 is an abundant number, since it is smaller than the sum of its proper divisors (264815584).

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

256538144 is a wasteful number, since it uses less digits than its factorization.

256538144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258648 (or 258640 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 256538144 is about 16016.8081714179. The cubic root of 256538144 is about 635.4050314484.

The spelling of 256538144 in words is "two hundred fifty-six million, five hundred thirty-eight thousand, one hundred forty-four".