131987584 has 96 divisors (see below), whose sum is σ = 288665100. Its totient is φ = 59996160.

The previous prime is 131987579. The next prime is 131987587. The reversal of 131987584 is 485789131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124545600 + 7441984 = 11160^2 + 2728^2 .

It is not an unprimeable number, because it can be changed into a prime (131987587) 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, 3567214 + ... + 3567250.

Almost surely, 2^131987584 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 131987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144332550).

131987584 is an abundant number, since it is smaller than the sum of its proper divisors (156677516).

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

131987584 is an equidigital number, since it uses as much as digits as its factorization.

131987584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 99 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 131987584 is about 11488.5849433253. The cubic root of 131987584 is about 509.1483723634.

It can be divided in two parts, 131 and 987584, that added together give a triangular number (987715 = T₁₄₀₅).

The spelling of 131987584 in words is "one hundred thirty-one million, nine hundred eighty-seven thousand, five hundred eighty-four".