131745792 has 96 divisors (see below), whose sum is σ = 360491040. Its totient is φ = 42762240.

The previous prime is 131745781. The next prime is 131745797. The reversal of 131745792 is 297547131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 131745792.

It is not an unprimeable number, because it can be changed into a prime (131745797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251643 + ... + 252165.

It is an arithmetic number, because the mean of its divisors is an integer number (3755115).

Almost surely, 2^131745792 is an apocalyptic number.

131745792 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 131745792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180245520).

131745792 is an abundant number, since it is smaller than the sum of its proper divisors (228745248).

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

131745792 is an equidigital number, since it uses as much as digits as its factorization.

131745792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 131745792 is about 11478.0569784263. The cubic root of 131745792 is about 508.8372742757.

The spelling of 131745792 in words is "one hundred thirty-one million, seven hundred forty-five thousand, seven hundred ninety-two".