131304096 has 288 divisors, whose sum is σ = 483065856. Its totient is φ = 32832000.

The previous prime is 131304077. The next prime is 131304101. The reversal of 131304096 is 690403131.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 687361 + ... + 687551.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 2^131304096 is an apocalyptic number.

131304096 is a gapful number since it is divisible by the number (16) 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 131304096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241532928).

131304096 is an abundant number, since it is smaller than the sum of its proper divisors (351761760).

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

131304096 is a wasteful number, since it uses less digits than its factorization.

131304096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131304096 is about 11458.7999371662. The cubic root of 131304096 is about 508.2679884711.

The spelling of 131304096 in words is "one hundred thirty-one million, three hundred four thousand, ninety-six".