131890304 has 128 divisors (see below), whose sum is σ = 330153600. Its totient is φ = 51397632.

The previous prime is 131890279. The next prime is 131890321. The reversal of 131890304 is 403098131.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968479 + ... + 1968545.

It is an arithmetic number, because the mean of its divisors is an integer number (2579325).

Almost surely, 2^131890304 is an apocalyptic number.

131890304 is a gapful number since it is divisible by the number (14) 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 131890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165076800).

131890304 is an abundant number, since it is smaller than the sum of its proper divisors (198263296).

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

131890304 is an frugal number, since it uses more digits than its factorization.

131890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 131890304 is about 11484.3503952117. The cubic root of 131890304 is about 509.0232542130.

The spelling of 131890304 in words is "one hundred thirty-one million, eight hundred ninety thousand, three hundred four".