108414638136 has 256 divisors, whose sum is σ = 349274112000. Its totient is φ = 30520022400.

The previous prime is 108414638099. The next prime is 108414638149. The reversal of 108414638136 is 631836414801.

108414638136 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 1 + 4 + 638 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 108414638091 and 108414638100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28993755 + ... + 28997493.

It is an arithmetic number, because the mean of its divisors is an integer number (1364352000).

Almost surely, 2^108414638136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108414638136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174637056000).

108414638136 is an abundant number, since it is smaller than the sum of its proper divisors (240859473864).

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

108414638136 is a wasteful number, since it uses less digits than its factorization.

108414638136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 108414638136 in words is "one hundred eight billion, four hundred fourteen million, six hundred thirty-eight thousand, one hundred thirty-six".