131294328 has 64 divisors (see below), whose sum is σ = 359925120. Its totient is φ = 39580800.

The previous prime is 131294321. The next prime is 131294347. The reversal of 131294328 is 823492131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131294321) 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, 54526 + ... + 56882.

It is an arithmetic number, because the mean of its divisors is an integer number (5623830).

Almost surely, 2^131294328 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 131294328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179962560).

131294328 is an abundant number, since it is smaller than the sum of its proper divisors (228630792).

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

131294328 is a wasteful number, since it uses less digits than its factorization.

131294328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2584 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 131294328 is about 11458.3737065955. The cubic root of 131294328 is about 508.2553844346.

The spelling of 131294328 in words is "one hundred thirty-one million, two hundred ninety-four thousand, three hundred twenty-eight".