135808036024320 has 832 divisors, whose sum is σ = 526985779783680. Its totient is φ = 32905691136000.

The previous prime is 135808036024313. The next prime is 135808036024337. The reversal of 135808036024320 is 23420630808531.

135808036024320 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 0 + 8 + 0 + 3 + 602 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14300093812 + ... + 14300103308.

Almost surely, 2^{135808036024320} is an apocalyptic number.

135808036024320 is a gapful number since it is divisible by the number (10) 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 135808036024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263492889891840).

135808036024320 is an abundant number, since it is smaller than the sum of its proper divisors (391177743759360).

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

135808036024320 is a wasteful number, since it uses less digits than its factorization.

135808036024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11897 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 135808036024320 in words is "one hundred thirty-five trillion, eight hundred eight billion, thirty-six million, twenty-four thousand, three hundred twenty".