131057088 has 112 divisors (see below), whose sum is σ = 363224064. Its totient is φ = 41656320.

The previous prime is 131057081. The next prime is 131057099. The reversal of 131057088 is 880750131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131057081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577231 + ... + 577457.

It is an arithmetic number, because the mean of its divisors is an integer number (3243072).

Almost surely, 2^131057088 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 131057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181612032).

131057088 is an abundant number, since it is smaller than the sum of its proper divisors (232166976).

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

131057088 is a wasteful number, since it uses less digits than its factorization.

131057088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 131057088 is about 11448.0167714762. The cubic root of 131057088 is about 507.9490721261.

The spelling of 131057088 in words is "one hundred thirty-one million, fifty-seven thousand, eighty-eight".