138552689808 has 480 divisors, whose sum is σ = 479017257600. Its totient is φ = 38003613696.

The previous prime is 138552689797. The next prime is 138552689819. The reversal of 138552689808 is 808986255831.

138552689808 is a `hidden beast` number, since 13 + 8 + 5 + 526 + 8 + 98 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (138552689797) and next prime (138552689819).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30835210 + ... + 30839702.

It is an arithmetic number, because the mean of its divisors is an integer number (997952620).

Almost surely, 2^138552689808 is an apocalyptic number.

138552689808 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 138552689808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239508628800).

138552689808 is an abundant number, since it is smaller than the sum of its proper divisors (340464567792).

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

138552689808 is a wasteful number, since it uses less digits than its factorization.

138552689808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 138552689808 in words is "one hundred thirty-eight billion, five hundred fifty-two million, six hundred eighty-nine thousand, eight hundred eight".