138677804260800 has 1344 divisors, whose sum is σ = 565469407641600. Its totient is φ = 29036604211200.

The previous prime is 138677804260777. The next prime is 138677804260873. The reversal of 138677804260800 is 8062408776831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33505145131 + ... + 33505149269.

It is an arithmetic number, because the mean of its divisors is an integer number (420736166400).

Almost surely, 2^{138677804260800} is an apocalyptic number.

138677804260800 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 138677804260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282734703820800).

138677804260800 is an abundant number, since it is smaller than the sum of its proper divisors (426791603380800).

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

138677804260800 is a wasteful number, since it uses less digits than its factorization.

138677804260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 138677804260800 in words is "one hundred thirty-eight trillion, six hundred seventy-seven billion, eight hundred four million, two hundred sixty thousand, eight hundred".