131597136 has 240 divisors, whose sum is σ = 443596608. Its totient is φ = 37324800.

The previous prime is 131597129. The next prime is 131597149. The reversal of 131597136 is 631795131.

131597136 is a `hidden beast` number, since 1 + 31 + 597 + 1 + 36 = 666.

It is a super-6 number, since 6×131597136⁶ (a number of 50 digits) contains 666666 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131597136.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 726966 + ... + 727146.

Almost surely, 2^131597136 is an apocalyptic number.

131597136 is a gapful number since it is divisible by the number (16) 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 131597136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

131597136 is an abundant number, since it is smaller than the sum of its proper divisors (311999472).

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

131597136 is a wasteful number, since it uses less digits than its factorization.

131597136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 131597136 is about 11471.5794902010. The cubic root of 131597136 is about 508.6458192501.

The spelling of 131597136 in words is "one hundred thirty-one million, five hundred ninety-seven thousand, one hundred thirty-six".