132597280 has 144 divisors (see below), whose sum is σ = 351698760. Its totient is φ = 47022080.

The previous prime is 132597217. The next prime is 132597299. The reversal of 132597280 is 82795231.

It can be written as a sum of positive squares in 12 ways, for example, as 898704 + 131698576 = 948^2 + 11476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234060 + ... + 3234100.

Almost surely, 2^132597280 is an apocalyptic number.

132597280 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 132597280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175849380).

132597280 is an abundant number, since it is smaller than the sum of its proper divisors (219101480).

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

132597280 is a wasteful number, since it uses less digits than its factorization.

132597280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 132597280 is about 11515.0892310915. The cubic root of 132597280 is about 509.9311453885.

The spelling of 132597280 in words is "one hundred thirty-two million, five hundred ninety-seven thousand, two hundred eighty".