131515840 has 112 divisors (see below), whose sum is σ = 331817472. Its totient is φ = 49550336.

The previous prime is 131515829. The next prime is 131515847. The reversal of 131515840 is 48515131.

It is a junction number, because it is equal to n+sod(n) for n = 131515799 and 131515808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131515847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787437 + ... + 787603.

It is an arithmetic number, because the mean of its divisors is an integer number (2962656).

Almost surely, 2^131515840 is an apocalyptic number.

131515840 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 131515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908736).

131515840 is an abundant number, since it is smaller than the sum of its proper divisors (200301632).

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

131515840 is a wasteful number, since it uses less digits than its factorization.

131515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 131515840 is about 11468.0355772033. The cubic root of 131515840 is about 508.5410566144.

It can be divided in two parts, 131515 and 840, that added together give a triangular number (132355 = T₅₁₄).

The spelling of 131515840 in words is "one hundred thirty-one million, five hundred fifteen thousand, eight hundred forty".