131525280 has 144 divisors (see below), whose sum is σ = 452579400. Its totient is φ = 34781184.

The previous prime is 131525267. The next prime is 131525287. The reversal of 131525280 is 82525131.

It is a happy number.

131525280 is a `hidden beast` number, since 131 + 5 + 2 + 528 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 98485776 = 5748^2 + 9924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (131525287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214254 + ... + 214866.

Almost surely, 2^131525280 is an apocalyptic number.

131525280 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 131525280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226289700).

131525280 is an abundant number, since it is smaller than the sum of its proper divisors (321054120).

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

131525280 is a wasteful number, since it uses less digits than its factorization.

131525280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 131525280 is about 11468.4471485899. The cubic root of 131525280 is about 508.5532237488.

The spelling of 131525280 in words is "one hundred thirty-one million, five hundred twenty-five thousand, two hundred eighty".