138423168 has 240 divisors, whose sum is σ = 451717200. Its totient is φ = 42052608.

The previous prime is 138423161. The next prime is 138423199. The reversal of 138423168 is 861324831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138423161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752153 + ... + 1752231.

It is an arithmetic number, because the mean of its divisors is an integer number (1882155).

Almost surely, 2^138423168 is an apocalyptic number.

138423168 is a gapful number since it is divisible by the number (18) 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 138423168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225858600).

138423168 is an abundant number, since it is smaller than the sum of its proper divisors (313294032).

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

138423168 is an equidigital number, since it uses as much as digits as its factorization.

138423168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 138423168 is about 11765.3375642180. The cubic root of 138423168 is about 517.2925948955.

Adding to 138423168 its reverse (861324831), we get a palindrome (999747999).

The spelling of 138423168 in words is "one hundred thirty-eight million, four hundred twenty-three thousand, one hundred sixty-eight".