138338560800 has 1152 divisors, whose sum is σ = 598349203200. Its totient is φ = 30449664000.

The previous prime is 138338560781. The next prime is 138338560837. The reversal of 138338560800 is 8065833831.

138338560800 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 3 + 8 + 560 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117136210 + ... + 117137390.

It is an arithmetic number, because the mean of its divisors is an integer number (519400350).

Almost surely, 2^138338560800 is an apocalyptic number.

138338560800 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 138338560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299174601600).

138338560800 is an abundant number, since it is smaller than the sum of its proper divisors (460010642400).

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

138338560800 is a wasteful number, since it uses less digits than its factorization.

138338560800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 138338560800 in words is "one hundred thirty-eight billion, three hundred thirty-eight million, five hundred sixty thousand, eight hundred".