131714304 has 144 divisors (see below), whose sum is σ = 370863360. Its totient is φ = 41451520.

The previous prime is 131714293. The next prime is 131714333. The reversal of 131714304 is 403417131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1479892 + ... + 1479980.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^131714304 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 131714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

131714304 is an abundant number, since it is smaller than the sum of its proper divisors (239149056).

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

131714304 is an equidigital number, since it uses as much as digits as its factorization.

131714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 131714304 is about 11476.6852357290. The cubic root of 131714304 is about 508.7967327032.

The spelling of 131714304 in words is "one hundred thirty-one million, seven hundred fourteen thousand, three hundred four".