131515040 has 48 divisors (see below), whose sum is σ = 313596360. Its totient is φ = 52116480.

The previous prime is 131515031. The next prime is 131515049. The reversal of 131515040 is 40515131.

It is an interprime number because it is at equal distance from previous prime (131515031) and next prime (131515049).

It can be written as a sum of positive squares in 4 ways, for example, as 91623184 + 39891856 = 9572^2 + 6316^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131515049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13670 + ... + 21210.

Almost surely, 2^131515040 is an apocalyptic number.

131515040 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 131515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156798180).

131515040 is an abundant number, since it is smaller than the sum of its proper divisors (182081320).

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

131515040 is a wasteful number, since it uses less digits than its factorization.

131515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7665 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 131515040 is about 11468.0006975933. Note that the first 3 decimals coincide. The cubic root of 131515040 is about 508.5400254745.

Subtracting from 131515040 its reverse (40515131), we obtain a palindrome (90999909).

The spelling of 131515040 in words is "one hundred thirty-one million, five hundred fifteen thousand, forty".