138052800 has 126 divisors (see below), whose sum is σ = 490723428. Its totient is φ = 36810240.

The previous prime is 138052799. The next prime is 138052813. The reversal of 138052800 is 8250831.

It is a happy number.

138052800 is a `hidden beast` number, since 1 + 380 + 5 + 280 + 0 = 666.

138052800 is digitally balanced in base 3, 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 17 ways as a sum of consecutive naturals, for example, 9607 + ... + 19193.

Almost surely, 2^138052800 is an apocalyptic number.

138052800 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 138052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245361714).

138052800 is an abundant number, since it is smaller than the sum of its proper divisors (352670628).

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

138052800 is a wasteful number, since it uses less digits than its factorization.

138052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9615 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 138052800 is about 11749.5872267923. The cubic root of 138052800 is about 516.8308230840.

The spelling of 138052800 in words is "one hundred thirty-eight million, fifty-two thousand, eight hundred".