138364368 has 60 divisors (see below), whose sum is σ = 366181920. Its totient is φ = 45019968.

The previous prime is 138364333. The next prime is 138364393. The reversal of 138364368 is 863463831.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87973 + ... + 89531.

It is an arithmetic number, because the mean of its divisors is an integer number (6103032).

Almost surely, 2^138364368 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 138364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183090960).

138364368 is an abundant number, since it is smaller than the sum of its proper divisors (227817552).

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

138364368 is a wasteful number, since it uses less digits than its factorization.

138364368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1607 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 138364368 is about 11762.8384329634. The cubic root of 138364368 is about 517.2193385833.

The spelling of 138364368 in words is "one hundred thirty-eight million, three hundred sixty-four thousand, three hundred sixty-eight".