33132144 has 40 divisors (see below), whose sum is σ = 89315712. Its totient is φ = 10563520.

The previous prime is 33132139. The next prime is 33132161. The reversal of 33132144 is 44123133.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33132144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13902 + ... + 16109.

Almost surely, 2^33132144 is an apocalyptic number.

It is an amenable number.

33132144 is an abundant number, since it is smaller than the sum of its proper divisors (56183568).

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

33132144 is a wasteful number, since it uses less digits than its factorization.

33132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30045 (or 30039 counting only the distinct ones).

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

The square root of 33132144 is about 5756.0528142122. The cubic root of 33132144 is about 321.1810005888.

Adding to 33132144 its reverse (44123133), we get a palindrome (77255277).

The spelling of 33132144 in words is "thirty-three million, one hundred thirty-two thousand, one hundred forty-four".