123138000 has 120 divisors (see below), whose sum is σ = 430142856. Its totient is φ = 32832000.

The previous prime is 123137999. The next prime is 123138013. The reversal of 123138000 is 831321.

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 122412096 = 852^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14580 + ... + 21420.

Almost surely, 2^123138000 is an apocalyptic number.

123138000 is a gapful number since it is divisible by the number (10) 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 123138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215071428).

123138000 is an abundant number, since it is smaller than the sum of its proper divisors (307004856).

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

123138000 is a wasteful number, since it uses less digits than its factorization.

123138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6870 (or 6851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 123138000 is about 11096.7562828063. The cubic root of 123138000 is about 497.5049030265.

Adding to 123138000 its reverse (831321), we get a palindrome (123969321).

The spelling of 123138000 in words is "one hundred twenty-three million, one hundred thirty-eight thousand".