33138150 has 48 divisors (see below), whose sum is σ = 82722384. Its totient is φ = 8778880.

The previous prime is 33138137. The next prime is 33138181. The reversal of 33138150 is 5183133.

It is a self number, because there is not a number n which added to its sum of digits gives 33138150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25312 + ... + 26588.

It is an arithmetic number, because the mean of its divisors is an integer number (1723383).

Almost surely, 2^33138150 is an apocalyptic number.

33138150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33138150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41361192).

33138150 is an abundant number, since it is smaller than the sum of its proper divisors (49584234).

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

33138150 is a wasteful number, since it uses less digits than its factorization.

33138150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 33138150 is about 5756.5745022539. The cubic root of 33138150 is about 321.2004066832.

The spelling of 33138150 in words is "thirty-three million, one hundred thirty-eight thousand, one hundred fifty".