135834163200 has 864 divisors, whose sum is σ = 517740612480. Its totient is φ = 33973862400.

The previous prime is 135834163187. The next prime is 135834163261. The reversal of 135834163200 is 2361438531.

135834163200 is a `hidden beast` number, since 1 + 3 + 58 + 341 + 63 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 528537472 + ... + 528537728.

It is an arithmetic number, because the mean of its divisors is an integer number (599236820).

Almost surely, 2^135834163200 is an apocalyptic number.

135834163200 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 135834163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258870306240).

135834163200 is an abundant number, since it is smaller than the sum of its proper divisors (381906449280).

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

135834163200 is a wasteful number, since it uses less digits than its factorization.

135834163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 135834163200 in words is "one hundred thirty-five billion, eight hundred thirty-four million, one hundred sixty-three thousand, two hundred".