24138 has 20 divisors (see below), whose sum is σ = 54450. Its totient is φ = 7992.

The previous prime is 24137. The next prime is 24151. The reversal of 24138 is 83142.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23409 + 729 = 153^2 + 27^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 24138.

It is not an unprimeable number, because it can be changed into a prime (24133) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 88 + ... + 236.

2²⁴¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27225).

24138 is an abundant number, since it is smaller than the sum of its proper divisors (30312).

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

24138 is a wasteful number, since it uses less digits than its factorization.

24138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 24138 is about 155.3640885147. The cubic root of 24138 is about 28.9001720116.

The spelling of 24138 in words is "twenty-four thousand, one hundred thirty-eight".