135017805852 has 240 divisors, whose sum is σ = 387305318400. Its totient is φ = 40855259520.

The previous prime is 135017805847. The next prime is 135017805941. The reversal of 135017805852 is 258508710531.

135017805852 is a `hidden beast` number, since 1 + 3 + 50 + 17 + 8 + 0 + 585 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135017805798 and 135017805807.

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, 19652674 + ... + 19659542.

It is an arithmetic number, because the mean of its divisors is an integer number (1613772160).

Almost surely, 2^135017805852 is an apocalyptic number.

135017805852 is a gapful number since it is divisible by the number (12) 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 135017805852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193652659200).

135017805852 is an abundant number, since it is smaller than the sum of its proper divisors (252287512548).

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

135017805852 is a wasteful number, since it uses less digits than its factorization.

135017805852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 135017805852 in words is "one hundred thirty-five billion, seventeen million, eight hundred five thousand, eight hundred fifty-two".