131605760 has 144 divisors (see below), whose sum is σ = 370863360. Its totient is φ = 44113920.

The previous prime is 131605759. The next prime is 131605763. The reversal of 131605760 is 67506131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131605763) 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, 182681 + ... + 183399.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^131605760 is an apocalyptic number.

131605760 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 131605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

131605760 is an abundant number, since it is smaller than the sum of its proper divisors (239257600).

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

131605760 is a wasteful number, since it uses less digits than its factorization.

131605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 131605760 is about 11471.9553695087. The cubic root of 131605760 is about 508.6569300941.

The spelling of 131605760 in words is "one hundred thirty-one million, six hundred five thousand, seven hundred sixty".