131657120 has 96 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 45120768.

The previous prime is 131657101. The next prime is 131657131. The reversal of 131657120 is 21756131.

It is a self number, because there is not a number n which added to its sum of digits gives 131657120.

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, 53681 + ... + 56079.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 2^131657120 is an apocalyptic number.

131657120 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 131657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

131657120 is an abundant number, since it is smaller than the sum of its proper divisors (231222880).

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

131657120 is an equidigital number, since it uses as much as digits as its factorization.

131657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 131657120 is about 11474.1936535863. The cubic root of 131657120 is about 508.7230903752.

The spelling of 131657120 in words is "one hundred thirty-one million, six hundred fifty-seven thousand, one hundred twenty".