33120144 has 40 divisors (see below), whose sum is σ = 95068320. Its totient is φ = 11039904.

The previous prime is 33120137. The next prime is 33120149. The reversal of 33120144 is 44102133.

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

It is not an unprimeable number, because it can be changed into a prime (33120149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37902 + ... + 38765.

It is an arithmetic number, because the mean of its divisors is an integer number (2376708).

Almost surely, 2^33120144 is an apocalyptic number.

It is an amenable number.

33120144 is an abundant number, since it is smaller than the sum of its proper divisors (61948176).

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

33120144 is a wasteful number, since it uses less digits than its factorization.

33120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76684 (or 76672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33120144 is about 5755.0103388265. The cubic root of 33120144 is about 321.1422201484.

Adding to 33120144 its reverse (44102133), we get a palindrome (77222277).

The spelling of 33120144 in words is "thirty-three million, one hundred twenty thousand, one hundred forty-four".