131909792 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 53913600.

The previous prime is 131909779. The next prime is 131909803. The reversal of 131909792 is 297909131.

131909792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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, 486617 + ... + 486887.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2^131909792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

131909792 is an abundant number, since it is smaller than the sum of its proper divisors (179005792).

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

131909792 is a wasteful number, since it uses less digits than its factorization.

131909792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 41.

The square root of 131909792 is about 11485.1988228328. The cubic root of 131909792 is about 509.0483239271.

The spelling of 131909792 in words is "one hundred thirty-one million, nine hundred nine thousand, seven hundred ninety-two".