135605120 has 64 divisors (see below), whose sum is σ = 370504800. Its totient is φ = 46491648.

The previous prime is 135605027. The next prime is 135605123. The reversal of 135605120 is 21506531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135605123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10655 + ... + 19614.

Almost surely, 2^135605120 is an apocalyptic number.

135605120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135605120 is an abundant number, since it is smaller than the sum of its proper divisors (234899680).

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

135605120 is an equidigital number, since it uses as much as digits as its factorization.

135605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30295 (or 30283 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 135605120 is about 11644.9611420562. The cubic root of 135605120 is about 513.7581161905.

The spelling of 135605120 in words is "one hundred thirty-five million, six hundred five thousand, one hundred twenty".