33144132 has 72 divisors (see below), whose sum is σ = 93366336. Its totient is φ = 8963136.

The previous prime is 33144131. The next prime is 33144161. The reversal of 33144132 is 23144133.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 33144099 and 33144108.

It is not an unprimeable number, because it can be changed into a prime (33144131) 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, 29778 + ... + 30870.

Almost surely, 2^33144132 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 33144132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683168).

33144132 is an abundant number, since it is smaller than the sum of its proper divisors (60222204).

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

33144132 is a wasteful number, since it uses less digits than its factorization.

33144132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1124 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 33144132 is about 5757.0940586376. The cubic root of 33144132 is about 321.2197329002.

Adding to 33144132 its reverse (23144133), we get a palindrome (56288265).

Subtracting from 33144132 its reverse (23144133), we obtain a palindrome (9999999).

The spelling of 33144132 in words is "thirty-three million, one hundred forty-four thousand, one hundred thirty-two".