138213800 has 48 divisors (see below), whose sum is σ = 326643900. Its totient is φ = 54374400.

The previous prime is 138213799. The next prime is 138213811. The reversal of 138213800 is 8312831.

138213800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9572836 + 128640964 = 3094^2 + 11342^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138213800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6536 + ... + 17864.

Almost surely, 2^138213800 is an apocalyptic number.

138213800 is a gapful number since it is divisible by the number (10) 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 138213800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163321950).

138213800 is an abundant number, since it is smaller than the sum of its proper divisors (188430100).

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

138213800 is a wasteful number, since it uses less digits than its factorization.

138213800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 11397 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 138213800 is about 11756.4365349369. The cubic root of 138213800 is about 517.0316579252.

The spelling of 138213800 in words is "one hundred thirty-eight million, two hundred thirteen thousand, eight hundred".