132000 has 96 divisors (see below), whose sum is σ = 471744. Its totient is φ = 32000.

The previous prime is 131969. The next prime is 132001. The reversal of 132000 is 231.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132001) by changing a digit.

132000 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 15 ways as a sum of consecutive naturals, for example, 11995 + ... + 12005.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

2¹³²⁰⁰⁰ is an apocalyptic number.

132000 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 132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

132000 is an abundant number, since it is smaller than the sum of its proper divisors (339744).

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

132000 is a wasteful number, since it uses less digits than its factorization.

132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 132000 is about 363.3180424917. The cubic root of 132000 is about 50.9164336966.

Adding to 132000 its reverse (231), we get a palindrome (132231).

Subtracting from 132000 its reverse (231), we obtain a square (131769 = 363²).

The spelling of 132000 in words is "one hundred thirty-two thousand".