135006084 has 18 divisors (see below), whose sum is σ = 341265470. Its totient is φ = 45002016.

The previous prime is 135006083. The next prime is 135006089. The reversal of 135006084 is 480600531.

135006084 is a `hidden beast` number, since 1 + 3 + 50 + 0 + 608 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132020100 + 2985984 = 11490^2 + 1728^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1875049 + ... + 1875120.

Almost surely, 2^135006084 is an apocalyptic number.

It is an amenable number.

135006084 is an abundant number, since it is smaller than the sum of its proper divisors (206259386).

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

135006084 is a wasteful number, since it uses less digits than its factorization.

135006084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750179 (or 3750174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135006084 is about 11619.2118493468. The cubic root of 135006084 is about 513.0004901788. Note that the first 3 decimals are identical.

The spelling of 135006084 in words is "one hundred thirty-five million, six thousand, eighty-four".