138313120608 has 648 divisors, whose sum is σ = 459510891840. Its totient is φ = 39400058880.

The previous prime is 138313120567. The next prime is 138313120633. The reversal of 138313120608 is 806021313831.

138313120608 is a `hidden beast` number, since 1 + 3 + 8 + 31 + 3 + 12 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1268927658 + ... + 1268927766.

Almost surely, 2^138313120608 is an apocalyptic number.

138313120608 is a gapful number since it is divisible by the number (18) 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 138313120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229755445920).

138313120608 is an abundant number, since it is smaller than the sum of its proper divisors (321197771232).

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

138313120608 is a wasteful number, since it uses less digits than its factorization.

138313120608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 138313120608 in words is "one hundred thirty-eight billion, three hundred thirteen million, one hundred twenty thousand, six hundred eight".