18133038 has 128 divisors (see below), whose sum is σ = 51840000. Its totient is φ = 4656960.

The previous prime is 18133019. The next prime is 18133051. The reversal of 18133038 is 83033181.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203698 + ... + 203786.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 2^18133038 is an apocalyptic number.

18133038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18133038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25920000).

18133038 is an abundant number, since it is smaller than the sum of its proper divisors (33706962).

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

18133038 is a wasteful number, since it uses less digits than its factorization.

18133038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18133038 is about 4258.2905020677. The cubic root of 18133038 is about 262.7182185428.

It can be divided in two parts, 1813 and 3038, that added together give a triangular number (4851 = T₉₈).

The spelling of 18133038 in words is "eighteen million, one hundred thirty-three thousand, thirty-eight".