131441529492 has 576 divisors, whose sum is σ = 456699769344. Its totient is φ = 32069468160.

The previous prime is 131441529487. The next prime is 131441529493. The reversal of 131441529492 is 294925144131.

131441529492 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 152 + 9 + 492 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131441529493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91724008 + ... + 91725440.

It is an arithmetic number, because the mean of its divisors is an integer number (792881544).

Almost surely, 2^131441529492 is an apocalyptic number.

131441529492 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 131441529492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228349884672).

131441529492 is an abundant number, since it is smaller than the sum of its proper divisors (325258239852).

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

131441529492 is a wasteful number, since it uses less digits than its factorization.

131441529492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1536 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 131441529492 in words is "one hundred thirty-one billion, four hundred forty-one million, five hundred twenty-nine thousand, four hundred ninety-two".