33000132 has 72 divisors (see below), whose sum is σ = 86577120. Its totient is φ = 9701120.

The previous prime is 33000127. The next prime is 33000133. The reversal of 33000132 is 23100033.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (33000133) 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, 370744 + ... + 370832.

It is an arithmetic number, because the mean of its divisors is an integer number (1202460).

Almost surely, 2^33000132 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 33000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43288560).

33000132 is an abundant number, since it is smaller than the sum of its proper divisors (53576988).

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

33000132 is a wasteful number, since it uses less digits than its factorization.

33000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 158 counting only the distinct ones).

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

The square root of 33000132 is about 5744.5741356518. The cubic root of 33000132 is about 320.7538606703.

Adding to 33000132 its reverse (23100033), we get a palindrome (56100165).

Subtracting from 33000132 its reverse (23100033), we obtain a palindrome (9900099).

It can be divided in two parts, 330001 and 32, that added together give a palindrome (330033).

The spelling of 33000132 in words is "thirty-three million, one hundred thirty-two", and thus it is an aban number.