135218160 has 400 divisors, whose sum is σ = 587676672. Its totient is φ = 27993600.

The previous prime is 135218143. The next prime is 135218179. The reversal of 135218160 is 61812531.

135218160 is a `hidden beast` number, since 1 + 3 + 521 + 81 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 498825 + ... + 499095.

Almost surely, 2^135218160 is an apocalyptic number.

135218160 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 135218160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293838336).

135218160 is an abundant number, since it is smaller than the sum of its proper divisors (452458512).

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

135218160 is a wasteful number, since it uses less digits than its factorization.

135218160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 135218160 is about 11628.3343605178. The cubic root of 135218160 is about 513.2689673986.

The spelling of 135218160 in words is "one hundred thirty-five million, two hundred eighteen thousand, one hundred sixty".