132125280 has 96 divisors (see below), whose sum is σ = 475663104. Its totient is φ = 30199296.

The previous prime is 132125267. The next prime is 132125299. The reversal of 132125280 is 82521231.

It is a tau number, because it is divible by the number of its divisors (96).

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 132125280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16302 + ... + 23021.

It is an arithmetic number, because the mean of its divisors is an integer number (4954824).

Almost surely, 2^132125280 is an apocalyptic number.

132125280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132125280 is an abundant number, since it is smaller than the sum of its proper divisors (343537824).

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

132125280 is a wasteful number, since it uses less digits than its factorization.

132125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39348 (or 39340 counting only the distinct ones).

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

The square root of 132125280 is about 11494.5761122366. The cubic root of 132125280 is about 509.3253671138.

The spelling of 132125280 in words is "one hundred thirty-two million, one hundred twenty-five thousand, two hundred eighty".