132880 has 40 divisors (see below), whose sum is σ = 339264. Its totient is φ = 48000.

The previous prime is 132863. The next prime is 132887. The reversal of 132880 is 88231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (132887) by changing a digit.

132880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 805 + ... + 955.

2¹³²⁸⁸⁰ is an apocalyptic number.

132880 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 132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).

132880 is an abundant number, since it is smaller than the sum of its proper divisors (206384).

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

132880 is a wasteful number, since it uses less digits than its factorization.

132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 132880 is about 364.5270909000. The cubic root of 132880 is about 51.0293308150.

Subtracting from 132880 its product of nonzero digits (384), we obtain a square (132496 = 364²).

The spelling of 132880 in words is "one hundred thirty-two thousand, eight hundred eighty".