135188064 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 40538880.

The previous prime is 135188051. The next prime is 135188069. The reversal of 135188064 is 460881531.

135188064 is a `hidden beast` number, since 1 + 3 + 518 + 80 + 64 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135188069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440199 + ... + 440505.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^135188064 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 135188064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

135188064 is an abundant number, since it is smaller than the sum of its proper divisors (288595296).

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

135188064 is a wasteful number, since it uses less digits than its factorization.

135188064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135188064 is about 11627.0402080667. The cubic root of 135188064 is about 513.2308845231.

The spelling of 135188064 in words is "one hundred thirty-five million, one hundred eighty-eight thousand, sixty-four".