131615040 has 112 divisors (see below), whose sum is σ = 426915072. Its totient is φ = 34338816.

The previous prime is 131614997. The next prime is 131615041. The reversal of 131615040 is 40516131.

It is a junction number, because it is equal to n+sod(n) for n = 131614998 and 131615016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131615041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43662 + ... + 46578.

Almost surely, 2^131615040 is an apocalyptic number.

131615040 is a gapful number since it is divisible by the number (10) 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 131615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213457536).

131615040 is an abundant number, since it is smaller than the sum of its proper divisors (295300032).

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

131615040 is a wasteful number, since it uses less digits than its factorization.

131615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131615040 is about 11472.3598269929. The cubic root of 131615040 is about 508.6688855621.

The spelling of 131615040 in words is "one hundred thirty-one million, six hundred fifteen thousand, forty".