33149952 has 176 divisors, whose sum is σ = 108081600. Its totient is φ = 9953280.

The previous prime is 33149933. The next prime is 33149953. The reversal of 33149952 is 25994133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33149953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304074 + ... + 304182.

It is an arithmetic number, because the mean of its divisors is an integer number (614100).

Almost surely, 2^33149952 is an apocalyptic number.

33149952 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 33149952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54040800).

33149952 is an abundant number, since it is smaller than the sum of its proper divisors (74931648).

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

33149952 is a wasteful number, since it uses less digits than its factorization.

33149952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 33149952 is about 5757.5994997916. The cubic root of 33149952 is about 321.2385335075.

The spelling of 33149952 in words is "thirty-three million, one hundred forty-nine thousand, nine hundred fifty-two".