131568040 has 48 divisors (see below), whose sum is σ = 302663700. Its totient is φ = 51472896.

The previous prime is 131568037. The next prime is 131568071. The reversal of 131568040 is 40865131.

It can be written as a sum of positive squares in 2 ways, for example, as 125126596 + 6441444 = 11186^2 + 2538^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87616 + ... + 89104.

Almost surely, 2^131568040 is an apocalyptic number.

131568040 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 131568040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151331850).

131568040 is an abundant number, since it is smaller than the sum of its proper divisors (171095660).

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

131568040 is a wasteful number, since it uses less digits than its factorization.

131568040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 131568040 is about 11470.3112425078. The cubic root of 131568040 is about 508.6083294535.

The spelling of 131568040 in words is "one hundred thirty-one million, five hundred sixty-eight thousand, forty".