131954256 has 90 divisors (see below), whose sum is σ = 429603642. Its totient is φ = 37699200.

The previous prime is 131954237. The next prime is 131954257. The reversal of 131954256 is 652459131.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 38638656 = 9660^2 + 6216^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131954256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131954257) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2295 + ... + 16406.

Almost surely, 2^131954256 is an apocalyptic number.

131954256 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 131954256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214801821).

131954256 is an abundant number, since it is smaller than the sum of its proper divisors (297649386).

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

131954256 is a wasteful number, since it uses less digits than its factorization.

131954256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18729 (or 18713 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 131954256 is about 11487.1343685011. The cubic root of 131954256 is about 509.1055139749.

The spelling of 131954256 in words is "one hundred thirty-one million, nine hundred fifty-four thousand, two hundred fifty-six".