24138000 has 200 divisors, whose sum is σ = 87773400. Its totient is φ = 6393600.

The previous prime is 24137989. The next prime is 24138029. The reversal of 24138000 is 83142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 19927296 = 2052^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161926 + ... + 162074.

It is an arithmetic number, because the mean of its divisors is an integer number (438867).

Almost surely, 2^24138000 is an apocalyptic number.

24138000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43886700).

24138000 is an abundant number, since it is smaller than the sum of its proper divisors (63635400).

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

24138000 is a wasteful number, since it uses less digits than its factorization.

24138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

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

The square root of 24138000 is about 4913.0438630242. The cubic root of 24138000 is about 289.0017201160.

The spelling of 24138000 in words is "twenty-four million, one hundred thirty-eight thousand".