131130240 has 128 divisors (see below), whose sum is σ = 421545600. Its totient is φ = 34670592.

The previous prime is 131130239. The next prime is 131130247. The reversal of 131130240 is 42031131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130247) 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, 312751 + ... + 313169.

It is an arithmetic number, because the mean of its divisors is an integer number (3293325).

Almost surely, 2^131130240 is an apocalyptic number.

131130240 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 131130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210772800).

131130240 is an abundant number, since it is smaller than the sum of its proper divisors (290415360).

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

131130240 is a wasteful number, since it uses less digits than its factorization.

131130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131130240 is about 11451.2112896409. The cubic root of 131130240 is about 508.0435616849.

Adding to 131130240 its reverse (42031131), we get a palindrome (173161371).

The spelling of 131130240 in words is "one hundred thirty-one million, one hundred thirty thousand, two hundred forty".