33149088 has 252 divisors, whose sum is σ = 117748890. Its totient is φ = 9144576.

The previous prime is 33149057. The next prime is 33149093. The reversal of 33149088 is 88094133.

It can be written as a sum of positive squares in only one way, i.e., 28005264 + 5143824 = 5292^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1143058 + ... + 1143086.

Almost surely, 2^33149088 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 33149088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58874445).

33149088 is an abundant number, since it is smaller than the sum of its proper divisors (84599802).

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

33149088 is an equidigital number, since it uses as much as digits as its factorization.

33149088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 33149088 is about 5757.5244680331. The cubic root of 33149088 is about 321.2357426286.

The spelling of 33149088 in words is "thirty-three million, one hundred forty-nine thousand, eighty-eight".