138021676856 has 256 divisors, whose sum is σ = 333123840000. Its totient is φ = 52228915200.

The previous prime is 138021676847. The next prime is 138021676913. The reversal of 138021676856 is 658676120831.

It is a junction number, because it is equal to n+sod(n) for n = 138021676798 and 138021676807.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 307397720 + ... + 307398168.

It is an arithmetic number, because the mean of its divisors is an integer number (1301265000).

Almost surely, 2^138021676856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138021676856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920000).

138021676856 is an abundant number, since it is smaller than the sum of its proper divisors (195102163144).

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

138021676856 is a wasteful number, since it uses less digits than its factorization.

138021676856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 138021676856 in words is "one hundred thirty-eight billion, twenty-one million, six hundred seventy-six thousand, eight hundred fifty-six".