131697792 has 128 divisors (see below), whose sum is σ = 396576000. Its totient is φ = 43011072.

The previous prime is 131697791. The next prime is 131697799. The reversal of 131697792 is 297796131.

131697792 = 8³ + 9³ + ... + 151³.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (131697791) 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, 182809 + ... + 183527.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^131697792 is an apocalyptic number.

131697792 is a gapful number since it is divisible by the number (12) 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 131697792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198288000).

131697792 is an abundant number, since it is smaller than the sum of its proper divisors (264878208).

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

131697792 is an equidigital number, since it uses as much as digits as its factorization.

131697792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 131697792 is about 11475.9658417059. The cubic root of 131697792 is about 508.7754705156.

The spelling of 131697792 in words is "one hundred thirty-one million, six hundred ninety-seven thousand, seven hundred ninety-two".