256137882 has 96 divisors (see below), whose sum is σ = 693200256. Its totient is φ = 61395840.

The previous prime is 256137877. The next prime is 256137899. The reversal of 256137882 is 288731652.

256137882 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256137882² = 131213229190891848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64128 + ... + 68004.

It is an arithmetic number, because the mean of its divisors is an integer number (7220836).

Almost surely, 2^256137882 is an apocalyptic number.

256137882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256137882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346600128).

256137882 is an abundant number, since it is smaller than the sum of its proper divisors (437062374).

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

256137882 is a wasteful number, since it uses less digits than its factorization.

256137882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3913 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 256137882 is about 16004.3082324729. The cubic root of 256137882 is about 635.0743972187.

The spelling of 256137882 in words is "two hundred fifty-six million, one hundred thirty-seven thousand, eight hundred eighty-two".