138253097808 has 400 divisors, whose sum is σ = 491230960000. Its totient is φ = 37419604992.

The previous prime is 138253097783. The next prime is 138253097837. The reversal of 138253097808 is 808790352831.

138253097808 is a `hidden beast` number, since 1 + 38 + 2 + 530 + 9 + 78 + 0 + 8 = 666.

It is a super-2 number, since 2×138253097808² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8437848 + ... + 8454216.

It is an arithmetic number, because the mean of its divisors is an integer number (1228077400).

Almost surely, 2^138253097808 is an apocalyptic number.

138253097808 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 138253097808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245615480000).

138253097808 is an abundant number, since it is smaller than the sum of its proper divisors (352977862192).

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

138253097808 is a wasteful number, since it uses less digits than its factorization.

138253097808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16429 (or 16400 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 138253097808 in words is "one hundred thirty-eight billion, two hundred fifty-three million, ninety-seven thousand, eight hundred eight".