131142996 has 48 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 43455456.

The previous prime is 131142971. The next prime is 131143003. The reversal of 131142996 is 699241131.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131142996.

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 15 ways as a sum of consecutive naturals, for example, 15175 + ... + 22193.

It is an arithmetic number, because the mean of its divisors is an integer number (7125300).

Almost surely, 2^131142996 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 131142996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

131142996 is an abundant number, since it is smaller than the sum of its proper divisors (210871404).

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

131142996 is a wasteful number, since it uses less digits than its factorization.

131142996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205 (or 7197 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 131142996 is about 11451.7682477424. The cubic root of 131142996 is about 508.0600348583.

It can be divided in two parts, 13114 and 2996, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 131142996 in words is "one hundred thirty-one million, one hundred forty-two thousand, nine hundred ninety-six".