33138126 has 64 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 9138528.

The previous prime is 33138121. The next prime is 33138137. The reversal of 33138126 is 62183133.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33138126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33138121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9451 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^33138126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33138126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

33138126 is an abundant number, since it is smaller than the sum of its proper divisors (53953074).

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

33138126 is a wasteful number, since it uses less digits than its factorization.

33138126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3064 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33138126 is about 5756.5724176805. The cubic root of 33138126 is about 321.2003291411.

The spelling of 33138126 in words is "thirty-three million, one hundred thirty-eight thousand, one hundred twenty-six".