135055008 has 144 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 40381440.

The previous prime is 135054991. The next prime is 135055009. The reversal of 135055008 is 800550531.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (135055009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281713 + ... + 282191.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^135055008 is an apocalyptic number.

135055008 is a gapful number since it is divisible by the number (18) 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 135055008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

135055008 is an abundant number, since it is smaller than the sum of its proper divisors (289514592).

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

135055008 is a wasteful number, since it uses less digits than its factorization.

135055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 135055008 is about 11621.3169649571. The cubic root of 135055008 is about 513.0624503615.

The spelling of 135055008 in words is "one hundred thirty-five million, fifty-five thousand, eight".