135988668288 has 320 divisors, whose sum is σ = 443553707520. Its totient is φ = 41016222720.

The previous prime is 135988668227. The next prime is 135988668311. The reversal of 135988668288 is 882866889531.

135988668288 is a `hidden beast` number, since 1 + 3 + 598 + 8 + 6 + 6 + 8 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25430031 + ... + 25435377.

It is an arithmetic number, because the mean of its divisors is an integer number (1386105336).

Almost surely, 2^135988668288 is an apocalyptic number.

135988668288 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 135988668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221776853760).

135988668288 is an abundant number, since it is smaller than the sum of its proper divisors (307565039232).

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

135988668288 is a wasteful number, since it uses less digits than its factorization.

135988668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5586 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 72.

The spelling of 135988668288 in words is "one hundred thirty-five billion, nine hundred eighty-eight million, six hundred sixty-eight thousand, two hundred eighty-eight".