138682837600 has 72 divisors (see below), whose sum is σ = 347709807648. Its totient is φ = 53973849600.

The previous prime is 138682837591. The next prime is 138682837649. The reversal of 138682837600 is 6738286831.

138682837600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2313016 + ... + 2372215.

It is an arithmetic number, because the mean of its divisors is an integer number (4829302884).

Almost surely, 2^138682837600 is an apocalyptic number.

138682837600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138682837600 is an abundant number, since it is smaller than the sum of its proper divisors (209026970048).

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

138682837600 is a wasteful number, since it uses less digits than its factorization.

138682837600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685288 (or 4685275 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 138682837600 in words is "one hundred thirty-eight billion, six hundred eighty-two million, eight hundred thirty-seven thousand, six hundred".