138676665600 has 1080 divisors, whose sum is σ = 568035955872. Its totient is φ = 33100185600.

The previous prime is 138676665599. The next prime is 138676665629. The reversal of 138676665600 is 6566676831.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 473299054 + ... + 473299346.

Almost surely, 2^138676665600 is an apocalyptic number.

138676665600 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 138676665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284017977936).

138676665600 is an abundant number, since it is smaller than the sum of its proper divisors (429359290272).

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

138676665600 is a wasteful number, since it uses less digits than its factorization.

138676665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 138676665600 in words is "one hundred thirty-eight billion, six hundred seventy-six million, six hundred sixty-five thousand, six hundred".