131838264 has 96 divisors (see below), whose sum is σ = 398034000. Its totient is φ = 39177216.

The previous prime is 131838253. The next prime is 131838271. The reversal of 131838264 is 462838131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20422 + ... + 26090.

Almost surely, 2^131838264 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 131838264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199017000).

131838264 is an abundant number, since it is smaller than the sum of its proper divisors (266195736).

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

131838264 is a wasteful number, since it uses less digits than its factorization.

131838264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717 (or 5710 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131838264 is about 11482.0844797450. The cubic root of 131838264 is about 508.9562969156.

The spelling of 131838264 in words is "one hundred thirty-one million, eight hundred thirty-eight thousand, two hundred sixty-four".