133032 has 32 divisors (see below), whose sum is σ = 348480. Its totient is φ = 42240.

The previous prime is 133013. The next prime is 133033. The reversal of 133032 is 230331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132999 and 133017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133033) by changing a digit.

133032 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2¹³³⁰³² is an apocalyptic number.

133032 is a gapful number since it is divisible by the number (12) 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 133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240).

133032 is an abundant number, since it is smaller than the sum of its proper divisors (215448).

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

133032 is a wasteful number, since it uses less digits than its factorization.

133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133032 is about 364.7355206173. The cubic root of 133032 is about 51.0487807012.

Adding to 133032 its reverse (230331), we get a palindrome (363363).

It can be divided in two parts, 1 and 33032, that added together give a palindrome (33033).

The spelling of 133032 in words is "one hundred thirty-three thousand, thirty-two".