131088320 has 112 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 47170560.

The previous prime is 131088319. The next prime is 131088341. The reversal of 131088320 is 23880131.

It is a self number, because there is not a number n which added to its sum of digits gives 131088320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587729 + ... + 587951.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^131088320 is an apocalyptic number.

131088320 is a gapful number since it is divisible by the number (10) 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 131088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

131088320 is an abundant number, since it is smaller than the sum of its proper divisors (213018688).

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

131088320 is a wasteful number, since it uses less digits than its factorization.

131088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 131088320 is about 11449.3807692818. The cubic root of 131088320 is about 507.9894184251.

The spelling of 131088320 in words is "one hundred thirty-one million, eighty-eight thousand, three hundred twenty".