138382800 has 60 divisors (see below), whose sum is σ = 443290080. Its totient is φ = 36901760.

The previous prime is 138382793. The next prime is 138382813. The reversal of 138382800 is 8283831.

138382800 is digitally balanced in base 2, 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 (60).

It is a congruent number.

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, 56460 + ... + 58859.

It is an arithmetic number, because the mean of its divisors is an integer number (7388168).

Almost surely, 2^138382800 is an apocalyptic number.

138382800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138382800 is an abundant number, since it is smaller than the sum of its proper divisors (304907280).

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

138382800 is a wasteful number, since it uses less digits than its factorization.

138382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115340 (or 115329 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 138382800 is about 11763.6218912374. The cubic root of 138382800 is about 517.2423044275.

The spelling of 138382800 in words is "one hundred thirty-eight million, three hundred eighty-two thousand, eight hundred".