131618256 has 160 divisors (see below), whose sum is σ = 428544000. Its totient is φ = 33815040.

The previous prime is 131618243. The next prime is 131618257. The reversal of 131618256 is 652816131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131618257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550585 + ... + 550823.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^131618256 is an apocalyptic number.

131618256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 11472×11473.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131618256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

131618256 is an abundant number, since it is smaller than the sum of its proper divisors (296925744).

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

131618256 is a wasteful number, since it uses less digits than its factorization.

131618256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 131618256 is about 11472.4999891044. The cubic root of 131618256 is about 508.6730286190.

The spelling of 131618256 in words is "one hundred thirty-one million, six hundred eighteen thousand, two hundred fifty-six".