131393808 has 240 divisors, whose sum is σ = 466525696. Its totient is φ = 33592320.

The previous prime is 131393803. The next prime is 131393831. The reversal of 131393808 is 808393131.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (131393803) by changing a digit.

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, 484713 + ... + 484983.

Almost surely, 2^131393808 is an apocalyptic number.

131393808 is a gapful number since it is divisible by the number (18) 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 131393808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233262848).

131393808 is an abundant number, since it is smaller than the sum of its proper divisors (335131888).

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

131393808 is a wasteful number, since it uses less digits than its factorization.

131393808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131393808 is about 11462.7138147997. The cubic root of 131393808 is about 508.3837181865.

The spelling of 131393808 in words is "one hundred thirty-one million, three hundred ninety-three thousand, eight hundred eight".