135663984 has 80 divisors (see below), whose sum is σ = 394315040. Its totient is φ = 45209664.

The previous prime is 135663977. The next prime is 135664033. The reversal of 135663984 is 489366531.

135663984 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 639 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33054 + ... + 36930.

It is an arithmetic number, because the mean of its divisors is an integer number (4928938).

Almost surely, 2^135663984 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 135663984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197157520).

135663984 is an abundant number, since it is smaller than the sum of its proper divisors (258651056).

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

135663984 is an frugal number, since it uses more digits than its factorization.

135663984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3882 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 135663984 is about 11647.4883129368. The cubic root of 135663984 is about 513.8324434798.

The spelling of 135663984 in words is "one hundred thirty-five million, six hundred sixty-three thousand, nine hundred eighty-four".