131811988 has 72 divisors (see below), whose sum is σ = 301008960. Its totient is φ = 49061760.

The previous prime is 131811971. The next prime is 131812001. The reversal of 131811988 is 889118131.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131811988.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162528 + ... + 163336.

It is an arithmetic number, because the mean of its divisors is an integer number (4180680).

Almost surely, 2^131811988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131811988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150504480).

131811988 is an abundant number, since it is smaller than the sum of its proper divisors (169196972).

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

131811988 is a wasteful number, since it uses less digits than its factorization.

131811988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 852 counting only the distinct ones).

The product of its digits is 13824, while the sum is 40.

The square root of 131811988 is about 11480.9402054013. The cubic root of 131811988 is about 508.9224821899.

The spelling of 131811988 in words is "one hundred thirty-one million, eight hundred eleven thousand, nine hundred eighty-eight".