131580240 has 240 divisors, whose sum is σ = 470219904. Its totient is φ = 30356480.

The previous prime is 131580227. The next prime is 131580247. The reversal of 131580240 is 42085131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131580240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131580247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667822 + ... + 668018.

Almost surely, 2^131580240 is an apocalyptic number.

131580240 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 131580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952).

131580240 is an abundant number, since it is smaller than the sum of its proper divisors (338639664).

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

131580240 is a wasteful number, since it uses less digits than its factorization.

131580240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 131580240 is about 11470.8430378939. The cubic root of 131580240 is about 508.6240496589.

The spelling of 131580240 in words is "one hundred thirty-one million, five hundred eighty thousand, two hundred forty".