131624288532 has 72 divisors (see below), whose sum is σ = 363012118560. Its totient is φ = 39880854720.

The previous prime is 131624288507. The next prime is 131624288561. The reversal of 131624288532 is 235882426131.

131624288532 is a `hidden beast` number, since 1 + 3 + 16 + 24 + 2 + 88 + 532 = 666.

131624288532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3801394 + ... + 3835862.

It is an arithmetic number, because the mean of its divisors is an integer number (5041834980).

Almost surely, 2^131624288532 is an apocalyptic number.

131624288532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131624288532 is an abundant number, since it is smaller than the sum of its proper divisors (231387830028).

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

131624288532 is a wasteful number, since it uses less digits than its factorization.

131624288532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44133 (or 44128 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 131624288532 in words is "one hundred thirty-one billion, six hundred twenty-four million, two hundred eighty-eight thousand, five hundred thirty-two".