256955136 has 72 divisors (see below), whose sum is σ = 724140144. Its totient is φ = 80609280.

The previous prime is 256955131. The next prime is 256955137. The reversal of 256955136 is 631559652.

It is not an unprimeable number, because it can be changed into a prime (256955131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3216 + ... + 22896.

It is an arithmetic number, because the mean of its divisors is an integer number (10057502).

Almost surely, 2^256955136 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 256955136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362070072).

256955136 is an abundant number, since it is smaller than the sum of its proper divisors (467185008).

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

256955136 is a wasteful number, since it uses less digits than its factorization.

256955136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19717 (or 19703 counting only the distinct ones).

The product of its digits is 243000, while the sum is 42.

The square root of 256955136 is about 16029.8202110941. The cubic root of 256955136 is about 635.7491198303.

The spelling of 256955136 in words is "two hundred fifty-six million, nine hundred fifty-five thousand, one hundred thirty-six".