131126576 has 80 divisors (see below), whose sum is σ = 312747840. Its totient is φ = 51978240.

The previous prime is 131126573. The next prime is 131126587. The reversal of 131126576 is 675621131.

131126576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131126573) 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 15 ways as a sum of consecutive naturals, for example, 115580 + ... + 116708.

It is an arithmetic number, because the mean of its divisors is an integer number (3909348).

Almost surely, 2^131126576 is an apocalyptic number.

131126576 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 131126576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156373920).

131126576 is an abundant number, since it is smaller than the sum of its proper divisors (181621264).

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

131126576 is a wasteful number, since it uses less digits than its factorization.

131126576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 131126576 is about 11451.0513054479. The cubic root of 131126576 is about 508.0388297762.

The spelling of 131126576 in words is "one hundred thirty-one million, one hundred twenty-six thousand, five hundred seventy-six".