33138 has 24 divisors (see below), whose sum is σ = 82368. Its totient is φ = 9432.

The previous prime is 33119. The next prime is 33149. The reversal of 33138 is 83133.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 33138.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

2³³¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184).

33138 is an abundant number, since it is smaller than the sum of its proper divisors (49230).

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

33138 is a wasteful number, since it uses less digits than its factorization.

33138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 275 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33138 is about 182.0384574753. The cubic root of 33138 is about 32.1199922044.

It can be divided in two parts, 3313 and 8, that added together give a triangular number (3321 = T₈₁).

The spelling of 33138 in words is "thirty-three thousand, one hundred thirty-eight".