138322800 has 360 divisors, whose sum is σ = 599664000. Its totient is φ = 28684800.

The previous prime is 138322781. The next prime is 138322813. The reversal of 138322800 is 8223831.

138322800 is a `hidden beast` number, since 1 + 383 + 2 + 280 + 0 = 666.

138322800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276951 + ... + 277449.

Almost surely, 2^138322800 is an apocalyptic number.

138322800 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 138322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299832000).

138322800 is an abundant number, since it is smaller than the sum of its proper divisors (461341200).

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

138322800 is a wasteful number, since it uses less digits than its factorization.

138322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 138322800 is about 11761.0713797681. The cubic root of 138322800 is about 517.1675383326.

The spelling of 138322800 in words is "one hundred thirty-eight million, three hundred twenty-two thousand, eight hundred".