131796160 has 112 divisors (see below), whose sum is σ = 337413600. Its totient is φ = 48881664.

The previous prime is 131796149. The next prime is 131796167. The reversal of 131796160 is 61697131.

131796160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131796167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322036 + ... + 322444.

Almost surely, 2^131796160 is an apocalyptic number.

131796160 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 131796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168706800).

131796160 is an abundant number, since it is smaller than the sum of its proper divisors (205617440).

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

131796160 is a wasteful number, since it uses less digits than its factorization.

131796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 131796160 is about 11480.2508683391. The cubic root of 131796160 is about 508.9021108827.

The spelling of 131796160 in words is "one hundred thirty-one million, seven hundred ninety-six thousand, one hundred sixty".