131760144 has 60 divisors (see below), whose sum is σ = 372586396. Its totient is φ = 43462656.

The previous prime is 131760133. The next prime is 131760151. The reversal of 131760144 is 441067131.

It is a happy number.

131760144 is a `hidden beast` number, since 1 + 3 + 17 + 601 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 75690000 + 56070144 = 8700^2 + 7488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9252 + ... + 18684.

Almost surely, 2^131760144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131760144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186293198).

131760144 is an abundant number, since it is smaller than the sum of its proper divisors (240826252).

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

131760144 is a wasteful number, since it uses less digits than its factorization.

131760144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9544 (or 9535 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131760144 is about 11478.6821543242. The cubic root of 131760144 is about 508.8557506847.

The spelling of 131760144 in words is "one hundred thirty-one million, seven hundred sixty thousand, one hundred forty-four".