24000138 has 72 divisors (see below), whose sum is σ = 56684160. Its totient is φ = 7610760.

The previous prime is 24000131. The next prime is 24000143. The reversal of 24000138 is 83100042.

It is a happy number.

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 24000138.

It is not an unprimeable number, because it can be changed into a prime (24000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 406753 + ... + 406811.

It is an arithmetic number, because the mean of its divisors is an integer number (787280).

Almost surely, 2^24000138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24000138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28342080).

24000138 is an abundant number, since it is smaller than the sum of its proper divisors (32684022).

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

24000138 is an frugal number, since it uses more digits than its factorization.

24000138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

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

The square root of 24000138 is about 4898.9935701121. The cubic root of 24000138 is about 288.4504669228.

The spelling of 24000138 in words is "twenty-four million, one hundred thirty-eight", and thus it is an aban number.