131537646 has 48 divisors (see below), whose sum is σ = 302265600. Its totient is φ = 41224464.

The previous prime is 131537641. The next prime is 131537657. The reversal of 131537646 is 646735131.

131537646 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 7 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131537646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131537641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46155 + ... + 48921.

It is an arithmetic number, because the mean of its divisors is an integer number (6297200).

Almost surely, 2^131537646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131537646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151132800).

131537646 is an abundant number, since it is smaller than the sum of its proper divisors (170727954).

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

131537646 is a wasteful number, since it uses less digits than its factorization.

131537646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2930 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 131537646 is about 11468.9862673211. The cubic root of 131537646 is about 508.5691612986.

The spelling of 131537646 in words is "one hundred thirty-one million, five hundred thirty-seven thousand, six hundred forty-six".