135423815159808 has 936 divisors, whose sum is σ = 466023445804800. Its totient is φ = 37769953148928.

The previous prime is 135423815159807. The next prime is 135423815159861. The reversal of 135423815159808 is 808951518324531.

135423815159808 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 38 + 1 + 5 + 1 + 598 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135423815159807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12700343085 + ... + 12700353747.

It is an arithmetic number, because the mean of its divisors is an integer number (497888296800).

Almost surely, 2^{135423815159808} is an apocalyptic number.

135423815159808 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 135423815159808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233011722902400).

135423815159808 is an abundant number, since it is smaller than the sum of its proper divisors (330599630644992).

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

135423815159808 is a wasteful number, since it uses less digits than its factorization.

135423815159808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10875 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 135423815159808 in words is "one hundred thirty-five trillion, four hundred twenty-three billion, eight hundred fifteen million, one hundred fifty-nine thousand, eight hundred eight".