131790240 has 120 divisors (see below), whose sum is σ = 465155460. Its totient is φ = 35140608.

The previous prime is 131790223. The next prime is 131790259. The reversal of 131790240 is 42097131.

It can be written as a sum of positive squares in 2 ways, for example, as 126967824 + 4822416 = 11268^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7876 + ... + 18044.

Almost surely, 2^131790240 is an apocalyptic number.

131790240 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 131790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232577730).

131790240 is an abundant number, since it is smaller than the sum of its proper divisors (333365220).

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

131790240 is a wasteful number, since it uses less digits than its factorization.

131790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131790240 is about 11479.9930313568. The cubic root of 131790240 is about 508.8944911726.

The spelling of 131790240 in words is "one hundred thirty-one million, seven hundred ninety thousand, two hundred forty".