138682368 has 280 divisors, whose sum is σ = 475762320. Its totient is φ = 39813120.

The previous prime is 138682361. The next prime is 138682373. The reversal of 138682368 is 863286831.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (138682361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7299063 + ... + 7299081.

Almost surely, 2^138682368 is an apocalyptic number.

138682368 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 138682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237881160).

138682368 is an abundant number, since it is smaller than the sum of its proper divisors (337079952).

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

138682368 is an equidigital number, since it uses as much as digits as its factorization.

138682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 138682368 is about 11776.3478209503. The cubic root of 138682368 is about 517.6152736276.

The spelling of 138682368 in words is "one hundred thirty-eight million, six hundred eighty-two thousand, three hundred sixty-eight".