138223368 has 64 divisors (see below), whose sum is σ = 389404800. Its totient is φ = 45420480.

The previous prime is 138223361. The next prime is 138223391. The reversal of 138223368 is 863322831.

It is a super-2 number, since 2×138223368² = 38211398922526848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 not an unprimeable number, because it can be changed into a prime (138223361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10830 + ... + 19842.

It is an arithmetic number, because the mean of its divisors is an integer number (6084450).

Almost surely, 2^138223368 is an apocalyptic number.

138223368 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 138223368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194702400).

138223368 is an abundant number, since it is smaller than the sum of its proper divisors (251181432).

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

138223368 is a wasteful number, since it uses less digits than its factorization.

138223368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9089 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138223368 is about 11756.8434539208. The cubic root of 138223368 is about 517.0435883421.

The spelling of 138223368 in words is "one hundred thirty-eight million, two hundred twenty-three thousand, three hundred sixty-eight".