131577820 has 36 divisors (see below), whose sum is σ = 303721992. Its totient is φ = 47845600.

The previous prime is 131577791. The next prime is 131577821. The reversal of 131577820 is 28775131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131577821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24766 + ... + 29605.

It is an arithmetic number, because the mean of its divisors is an integer number (8436722).

Almost surely, 2^131577820 is an apocalyptic number.

131577820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131577820 is an abundant number, since it is smaller than the sum of its proper divisors (172144172).

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

131577820 is a wasteful number, since it uses less digits than its factorization.

131577820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54402 (or 54389 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The square root of 131577820 is about 11470.7375525726. The cubic root of 131577820 is about 508.6209314659.

The spelling of 131577820 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, eight hundred twenty".