135006080 has 128 divisors (see below), whose sum is σ = 357212160. Its totient is φ = 48384000.

The previous prime is 135006037. The next prime is 135006083. The reversal of 135006080 is 80600531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135006083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894005 + ... + 894155.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2^135006080 is an apocalyptic number.

135006080 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 135006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

135006080 is an abundant number, since it is smaller than the sum of its proper divisors (222206080).

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

135006080 is a wasteful number, since it uses less digits than its factorization.

135006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 135006080 is about 11619.2116772180. The cubic root of 135006080 is about 513.0004851124. Note that the first 3 decimals are identical.

The spelling of 135006080 in words is "one hundred thirty-five million, six thousand, eighty".