135906160 has 80 divisors (see below), whose sum is σ = 360351936. Its totient is φ = 47222784.

The previous prime is 135906119. The next prime is 135906179. The reversal of 135906160 is 61609531.

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

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 15 ways as a sum of consecutive naturals, for example, 13837 + ... + 21523.

Almost surely, 2^135906160 is an apocalyptic number.

135906160 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 135906160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180175968).

135906160 is an abundant number, since it is smaller than the sum of its proper divisors (224445776).

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

135906160 is a wasteful number, since it uses less digits than its factorization.

135906160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7730 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 135906160 is about 11657.8797386146. The cubic root of 135906160 is about 514.1380119639.

The spelling of 135906160 in words is "one hundred thirty-five million, nine hundred six thousand, one hundred sixty".