138761952768 has 400 divisors, whose sum is σ = 438439386000. Its totient is φ = 43571478528.

The previous prime is 138761952761. The next prime is 138761952773. The reversal of 138761952768 is 867259167831.

138761952768 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 619 + 5 + 2 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138761952761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180444288 + ... + 180445056.

It is an arithmetic number, because the mean of its divisors is an integer number (1096098465).

Almost surely, 2^138761952768 is an apocalyptic number.

138761952768 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 138761952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219219693000).

138761952768 is an abundant number, since it is smaller than the sum of its proper divisors (299677433232).

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

138761952768 is an equidigital number, since it uses as much as digits as its factorization.

138761952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1022 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 138761952768 in words is "one hundred thirty-eight billion, seven hundred sixty-one million, nine hundred fifty-two thousand, seven hundred sixty-eight".