135338160 has 80 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 35992320.

The previous prime is 135338149. The next prime is 135338167. The reversal of 135338160 is 61833531.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (135338167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148105 + ... + 149015.

It is an arithmetic number, because the mean of its divisors is an integer number (5258592).

Almost surely, 2^135338160 is an apocalyptic number.

135338160 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 135338160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

135338160 is an abundant number, since it is smaller than the sum of its proper divisors (285349200).

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

135338160 is a wasteful number, since it uses less digits than its factorization.

135338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135338160 is about 11633.4930266021. The cubic root of 135338160 is about 513.4207568351.

The spelling of 135338160 in words is "one hundred thirty-five million, three hundred thirty-eight thousand, one hundred sixty".