131597536 has 144 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 52039680.

The previous prime is 131597507. The next prime is 131597549. The reversal of 131597536 is 635795131.

It is a happy number.

It is a super-2 number, since 2×131597536² = 34635822962542592, which contains 22 as substring.

Its product of digits (85050) is a multiple of the sum of its prime divisors (162).

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 23 ways as a sum of consecutive naturals, for example, 1478580 + ... + 1478668.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^131597536 is an apocalyptic number.

131597536 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 131597536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

131597536 is an abundant number, since it is smaller than the sum of its proper divisors (194177984).

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

131597536 is a wasteful number, since it uses less digits than its factorization.

131597536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its digits is 85050, while the sum is 40.

The square root of 131597536 is about 11471.5969245785. The cubic root of 131597536 is about 508.6463346061.

The spelling of 131597536 in words is "one hundred thirty-one million, five hundred ninety-seven thousand, five hundred thirty-six".