131577912 has 64 divisors (see below), whose sum is σ = 367353600. Its totient is φ = 43636320.

The previous prime is 131577911. The next prime is 131577913. The reversal of 131577912 is 219775131.

It is an interprime number because it is at equal distance from previous prime (131577911) and next prime (131577913).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131577911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44133 + ... + 47019.

It is an arithmetic number, because the mean of its divisors is an integer number (5739900).

Almost surely, 2^131577912 is an apocalyptic number.

131577912 is a gapful number since it is divisible by the number (12) 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 131577912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183676800).

131577912 is an abundant number, since it is smaller than the sum of its proper divisors (235775688).

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

131577912 is a wasteful number, since it uses less digits than its factorization.

131577912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3103 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 131577912 is about 11470.7415627761. The cubic root of 131577912 is about 508.6210500094.

The spelling of 131577912 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, nine hundred twelve".