138218800 has 30 divisors (see below), whose sum is σ = 332071628. Its totient is φ = 55287360.

The previous prime is 138218797. The next prime is 138218809. The reversal of 138218800 is 8812831.

138218800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138218809) 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 5 ways as a sum of consecutive naturals, for example, 172374 + ... + 173173.

Almost surely, 2^138218800 is an apocalyptic number.

138218800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138218800 is an abundant number, since it is smaller than the sum of its proper divisors (193852828).

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

138218800 is a wasteful number, since it uses less digits than its factorization.

138218800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345565 (or 345554 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 138218800 is about 11756.6491824839. The cubic root of 138218800 is about 517.0378925345.

The spelling of 138218800 in words is "one hundred thirty-eight million, two hundred eighteen thousand, eight hundred".