131568256 has 32 divisors (see below), whose sum is σ = 264729780. Its totient is φ = 65126400.

The previous prime is 131568251. The next prime is 131568271. The reversal of 131568256 is 652865131.

It can be written as a sum of positive squares in 2 ways, for example, as 114062400 + 17505856 = 10680^2 + 4184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (131568251) by changing a digit.

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, 7840 + ... + 18016.

Almost surely, 2^131568256 is an apocalyptic number.

131568256 is a gapful number since it is divisible by the number (16) 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 131568256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132364890).

131568256 is an abundant number, since it is smaller than the sum of its proper divisors (133161524).

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

131568256 is a wasteful number, since it uses less digits than its factorization.

131568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292 (or 10280 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 131568256 is about 11470.3206581159. The cubic root of 131568256 is about 508.6086077869.

It can be divided in two parts, 13156 and 8256, that added together give a palindrome (21412).

The spelling of 131568256 in words is "one hundred thirty-one million, five hundred sixty-eight thousand, two hundred fifty-six".