135042084 has 72 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 42154752.

The previous prime is 135042041. The next prime is 135042143. The reversal of 135042084 is 480240531.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160537 + ... + 161375.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^135042084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135042084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

135042084 is an abundant number, since it is smaller than the sum of its proper divisors (228200796).

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

135042084 is a wasteful number, since it uses less digits than its factorization.

135042084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135042084 is about 11620.7609045191. The cubic root of 135042084 is about 513.0460841151.

It can be divided in two parts, 1350 and 42084, that added together give a palindrome (43434).

The spelling of 135042084 in words is "one hundred thirty-five million, forty-two thousand, eighty-four".