33133152 has 96 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 10068480.

The previous prime is 33133063. The next prime is 33133181. The reversal of 33133152 is 25133133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33133152² = 2195611522910208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173377 + ... + 173567.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 2^33133152 is an apocalyptic number.

33133152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

33133152 is an abundant number, since it is smaller than the sum of its proper divisors (61699488).

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

33133152 is a wasteful number, since it uses less digits than its factorization.

33133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its digits is 810, while the sum is 21.

The square root of 33133152 is about 5756.1403735489. The cubic root of 33133152 is about 321.1842577195.

Adding to 33133152 its reverse (25133133), we get a palindrome (58266285).

The spelling of 33133152 in words is "thirty-three million, one hundred thirty-three thousand, one hundred fifty-two".