138523671216 has 480 divisors, whose sum is σ = 482489654400. Its totient is φ = 36203397120.

The previous prime is 138523671211. The next prime is 138523671257. The reversal of 138523671216 is 612176325831.

It is a happy number.

138523671216 is a `hidden beast` number, since 1 + 38 + 523 + 6 + 71 + 21 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (138523671211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93030600 + ... + 93032088.

It is an arithmetic number, because the mean of its divisors is an integer number (1005186780).

Almost surely, 2^138523671216 is an apocalyptic number.

138523671216 is a gapful number since it is divisible by the number (16) 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 138523671216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241244827200).

138523671216 is an abundant number, since it is smaller than the sum of its proper divisors (343965983184).

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

138523671216 is a wasteful number, since it uses less digits than its factorization.

138523671216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 138523671216 in words is "one hundred thirty-eight billion, five hundred twenty-three million, six hundred seventy-one thousand, two hundred sixteen".