33132132 has 72 divisors (see below), whose sum is σ = 94271520. Its totient is φ = 9979920.

The previous prime is 33132091. The next prime is 33132139. The reversal of 33132132 is 23123133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33132139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198313 + ... + 198479.

Almost surely, 2^33132132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47135760).

33132132 is an abundant number, since it is smaller than the sum of its proper divisors (61139388).

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

33132132 is a wasteful number, since it uses less digits than its factorization.

33132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 183 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 33132132 is about 5756.0517718311. The cubic root of 33132132 is about 321.1809618131.

Adding to 33132132 its reverse (23123133), we get a palindrome (56255265).

It can be divided in two parts, 3313 and 2132, that added together give a palindrome (5445).

The spelling of 33132132 in words is "thirty-three million, one hundred thirty-two thousand, one hundred thirty-two".