131045040 has 320 divisors, whose sum is σ = 527109120. Its totient is φ = 29673216.

The previous prime is 131045023. The next prime is 131045041. The reversal of 131045040 is 40540131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131045041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1224667 + ... + 1224773.

It is an arithmetic number, because the mean of its divisors is an integer number (1647216).

Almost surely, 2^131045040 is an apocalyptic number.

131045040 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 131045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

131045040 is an abundant number, since it is smaller than the sum of its proper divisors (396064080).

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

131045040 is an equidigital number, since it uses as much as digits as its factorization.

131045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131045040 is about 11447.4905547024. The cubic root of 131045040 is about 507.9335064972.

Adding to 131045040 its reverse (40540131), we get a palindrome (171585171).

The spelling of 131045040 in words is "one hundred thirty-one million, forty-five thousand, forty".