135284688 has 320 divisors, whose sum is σ = 499968000. Its totient is φ = 34715520.

The previous prime is 135284663. The next prime is 135284719. The reversal of 135284688 is 886482531.

135284688 is a `hidden beast` number, since 1 + 3 + 528 + 46 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629895 + ... + 1629977.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^135284688 is an apocalyptic number.

135284688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135284688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

135284688 is an abundant number, since it is smaller than the sum of its proper divisors (364683312).

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

135284688 is a wasteful number, since it uses less digits than its factorization.

135284688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 135284688 is about 11631.1946076059. The cubic root of 135284688 is about 513.3531305496.

The spelling of 135284688 in words is "one hundred thirty-five million, two hundred eighty-four thousand, six hundred eighty-eight".