540131256 has 96 divisors (see below), whose sum is σ = 1710783360. Its totient is φ = 150728256.

The previous prime is 540131231. The next prime is 540131257. The reversal of 540131256 is 652131045.

540131256 is a `hidden beast` number, since 5 + 401 + 3 + 1 + 256 = 666.

540131256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540131257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9211 + ... + 34133.

It is an arithmetic number, because the mean of its divisors is an integer number (17820660).

Almost surely, 2^540131256 is an apocalyptic number.

540131256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540131256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855391680).

540131256 is an abundant number, since it is smaller than the sum of its proper divisors (1170652104).

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

540131256 is a wasteful number, since it uses less digits than its factorization.

540131256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24985 (or 24978 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540131256 is about 23240.7240851054. The cubic root of 540131256 is about 814.3912580777.

The spelling of 540131256 in words is "five hundred forty million, one hundred thirty-one thousand, two hundred fifty-six".