135506160 has 180 divisors, whose sum is σ = 470745912. Its totient is φ = 34924032.

The previous prime is 135506153. The next prime is 135506209. The reversal of 135506160 is 61605531.

It is a happy number.

135506160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2022447 + ... + 2022513.

Almost surely, 2^135506160 is an apocalyptic number.

135506160 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 135506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235372956).

135506160 is an abundant number, since it is smaller than the sum of its proper divisors (335239752).

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

135506160 is a wasteful number, since it uses less digits than its factorization.

135506160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135506160 is about 11640.7113184719. The cubic root of 135506160 is about 513.6331113832.

The spelling of 135506160 in words is "one hundred thirty-five million, five hundred six thousand, one hundred sixty".