138106800 has 270 divisors, whose sum is σ = 521257932. Its totient is φ = 33845760.

The previous prime is 138106783. The next prime is 138106811. The reversal of 138106800 is 8601831.

138106800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 608287 + ... + 608513.

Almost surely, 2^138106800 is an apocalyptic number.

138106800 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 138106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260628966).

138106800 is an abundant number, since it is smaller than the sum of its proper divisors (383151132).

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

138106800 is a wasteful number, since it uses less digits than its factorization.

138106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138106800 is about 11751.8849551891. The cubic root of 138106800 is about 516.8982012329.

The spelling of 138106800 in words is "one hundred thirty-eight million, one hundred six thousand, eight hundred".