138667368 has 128 divisors (see below), whose sum is σ = 437944320. Its totient is φ = 35650560.

The previous prime is 138667367. The next prime is 138667381. The reversal of 138667368 is 863766831.

138667368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (138667367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64633 + ... + 66743.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 2^138667368 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 138667368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218972160).

138667368 is an abundant number, since it is smaller than the sum of its proper divisors (299276952).

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

138667368 is a wasteful number, since it uses less digits than its factorization.

138667368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2163 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 138667368 is about 11775.7109339521. The cubic root of 138667368 is about 517.5966110556.

The spelling of 138667368 in words is "one hundred thirty-eight million, six hundred sixty-seven thousand, three hundred sixty-eight".