131576368 has 180 divisors, whose sum is σ = 347816280. Its totient is φ = 47900160.

The previous prime is 131576363. The next prime is 131576383. The reversal of 131576368 is 863675131.

It is a happy number.

Its product of digits (90720) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 131576368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131576363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1802380 + ... + 1802452.

Almost surely, 2^131576368 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 131576368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173908140).

131576368 is an abundant number, since it is smaller than the sum of its proper divisors (216239912).

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

131576368 is a wasteful number, since it uses less digits than its factorization.

131576368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 131576368 is about 11470.6742609142. The cubic root of 131576368 is about 508.6190605317.

The spelling of 131576368 in words is "one hundred thirty-one million, five hundred seventy-six thousand, three hundred sixty-eight".