138323328 has 192 divisors, whose sum is σ = 436825200. Its totient is φ = 38522880.

The previous prime is 138323321. The next prime is 138323329. The reversal of 138323328 is 823323831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (138323321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603918 + ... + 604146.

Almost surely, 2^138323328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218412600).

138323328 is an abundant number, since it is smaller than the sum of its proper divisors (298501872).

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

138323328 is a wasteful number, since it uses less digits than its factorization.

138323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 138323328 is about 11761.0938266813. The cubic root of 138323328 is about 517.1681963685.

The spelling of 138323328 in words is "one hundred thirty-eight million, three hundred twenty-three thousand, three hundred twenty-eight".