131087892 has 72 divisors (see below), whose sum is σ = 340356576. Its totient is φ = 39222144.

The previous prime is 131087863. The next prime is 131087903. The reversal of 131087892 is 298780131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 131087892.

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 23 ways as a sum of consecutive naturals, for example, 74163 + ... + 75909.

Almost surely, 2^131087892 is an apocalyptic number.

131087892 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 131087892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170178288).

131087892 is an abundant number, since it is smaller than the sum of its proper divisors (209268684).

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

131087892 is a wasteful number, since it uses less digits than its factorization.

131087892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 131087892 is about 11449.3620782994. The cubic root of 131087892 is about 507.9888655670.

The spelling of 131087892 in words is "one hundred thirty-one million, eighty-seven thousand, eight hundred ninety-two".