135536160 has 192 divisors, whose sum is σ = 448084224. Its totient is φ = 34406400.

The previous prime is 135536153. The next prime is 135536173. The reversal of 135536160 is 61635531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397232 + ... + 1397328.

It is an arithmetic number, because the mean of its divisors is an integer number (2333772).

Almost surely, 2^135536160 is an apocalyptic number.

135536160 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 135536160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224042112).

135536160 is an abundant number, since it is smaller than the sum of its proper divisors (312548064).

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

135536160 is a wasteful number, since it uses less digits than its factorization.

135536160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 135536160 is about 11641.9998282082. Note that the first 3 decimals coincide. The cubic root of 135536160 is about 513.6710133658.

The spelling of 135536160 in words is "one hundred thirty-five million, five hundred thirty-six thousand, one hundred sixty".