138653816688 has 240 divisors, whose sum is σ = 424254155520. Its totient is φ = 43347225600.

The previous prime is 138653816669. The next prime is 138653816689. The reversal of 138653816688 is 886618356831.

It is a happy number.

138653816688 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 538 + 16 + 6 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138653816689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38825943 + ... + 38829513.

It is an arithmetic number, because the mean of its divisors is an integer number (1767725648).

Almost surely, 2^138653816688 is an apocalyptic number.

138653816688 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 138653816688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212127077760).

138653816688 is an abundant number, since it is smaller than the sum of its proper divisors (285600338832).

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

138653816688 is a wasteful number, since it uses less digits than its factorization.

138653816688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3904 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 138653816688 in words is "one hundred thirty-eight billion, six hundred fifty-three million, eight hundred sixteen thousand, six hundred eighty-eight".