131929344 has 72 divisors (see below), whose sum is σ = 390158720. Its totient is φ = 43974144.

The previous prime is 131929339. The next prime is 131929379. The reversal of 131929344 is 443929131.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131929299 and 131929308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2632 + ... + 16455.

Almost surely, 2^131929344 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 131929344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195079360).

131929344 is an abundant number, since it is smaller than the sum of its proper divisors (258229376).

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

131929344 is an equidigital number, since it uses as much as digits as its factorization.

131929344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19112 (or 19092 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131929344 is about 11486.0499737725. The cubic root of 131929344 is about 509.0734734907.

The spelling of 131929344 in words is "one hundred thirty-one million, nine hundred twenty-nine thousand, three hundred forty-four".