135660384 has 72 divisors (see below), whose sum is σ = 388926720. Its totient is φ = 44851968.

The previous prime is 135660383. The next prime is 135660439. The reversal of 135660384 is 483066531.

135660384 is a `hidden beast` number, since 13 + 566 + 0 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (135660383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34722 + ... + 38430.

It is an arithmetic number, because the mean of its divisors is an integer number (5401760).

Almost surely, 2^135660384 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 135660384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194463360).

135660384 is an abundant number, since it is smaller than the sum of its proper divisors (253266336).

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

135660384 is a wasteful number, since it uses less digits than its factorization.

135660384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3852 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 135660384 is about 11647.3337721558. Note that the first 3 decimals coincide. The cubic root of 135660384 is about 513.8278983944.

The spelling of 135660384 in words is "one hundred thirty-five million, six hundred sixty thousand, three hundred eighty-four".