138006800 has 30 divisors (see below), whose sum is σ = 331562298. Its totient is φ = 55202560.

The previous prime is 138006793. The next prime is 138006821. The reversal of 138006800 is 8600831.

138006800 is digitally balanced in base 3, 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 3 ways, for example, as 85264 + 137921536 = 292^2 + 11744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138006800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172109 + ... + 172908.

Almost surely, 2^138006800 is an apocalyptic number.

138006800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138006800 is an abundant number, since it is smaller than the sum of its proper divisors (193555498).

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

138006800 is a wasteful number, since it uses less digits than its factorization.

138006800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345035 (or 345024 counting only the distinct ones).

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

The square root of 138006800 is about 11747.6295481259. The cubic root of 138006800 is about 516.7734130233.

The spelling of 138006800 in words is "one hundred thirty-eight million, six thousand, eight hundred".