131577856 has 48 divisors (see below), whose sum is σ = 269680320. Its totient is φ = 64143360.

The previous prime is 131577833. The next prime is 131577911. The reversal of 131577856 is 658775131.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 83185 + ... + 84751.

It is an arithmetic number, because the mean of its divisors is an integer number (5618340).

Almost surely, 2^131577856 is an apocalyptic number.

131577856 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 131577856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134840160).

131577856 is an abundant number, since it is smaller than the sum of its proper divisors (138102464).

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

131577856 is an equidigital number, since it uses as much as digits as its factorization.

131577856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1610 counting only the distinct ones).

The product of its digits is 176400, while the sum is 43.

The square root of 131577856 is about 11470.7391217829. The cubic root of 131577856 is about 508.6209778525.

The spelling of 131577856 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, eight hundred fifty-six".