131596812288 has 180 divisors, whose sum is σ = 382458294075. Its totient is φ = 43602935808.

The previous prime is 131596812253. The next prime is 131596812293. The reversal of 131596812288 is 882218695131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131596812288 is a `hidden beast` number, since 1 + 31 + 596 + 8 + 12 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65798406144 + 65798406144 = 256512^2 + 256512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 788004781 + ... + 788004947.

Almost surely, 2^131596812288 is an apocalyptic number.

131596812288 is a gapful number since it is divisible by the number (18) 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 131596812288

131596812288 is an abundant number, since it is smaller than the sum of its proper divisors (250861481787).

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

131596812288 is an frugal number, since it uses more digits than its factorization.

131596812288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 172 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 131596812288 in words is "one hundred thirty-one billion, five hundred ninety-six million, eight hundred twelve thousand, two hundred eighty-eight".