131089392 has 120 divisors (see below), whose sum is σ = 428353536. Its totient is φ = 36643968.

The previous prime is 131089391. The next prime is 131089411. The reversal of 131089392 is 293980131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131089391) 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 23 ways as a sum of consecutive naturals, for example, 45993 + ... + 48759.

Almost surely, 2^131089392 is an apocalyptic number.

131089392 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 131089392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214176768).

131089392 is an abundant number, since it is smaller than the sum of its proper divisors (297264144).

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

131089392 is a wasteful number, since it uses less digits than its factorization.

131089392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 131089392 is about 11449.4275839450. The cubic root of 131089392 is about 507.9908031484.

It can be divided in two parts, 13108 and 9392, that added together give a square (22500 = 150²).

The spelling of 131089392 in words is "one hundred thirty-one million, eighty-nine thousand, three hundred ninety-two".