135308577888 has 288 divisors, whose sum is σ = 428199905952. Its totient is φ = 40183603200.

The previous prime is 135308577869. The next prime is 135308577913. The reversal of 135308577888 is 888775803531.

135308577888 is a `hidden beast` number, since 1 + 3 + 53 + 0 + 8 + 577 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×135308577888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60485506 + ... + 60487742.

It is an arithmetic number, because the mean of its divisors is an integer number (1486805229).

Almost surely, 2^135308577888 is an apocalyptic number.

135308577888 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 135308577888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214099952976).

135308577888 is an abundant number, since it is smaller than the sum of its proper divisors (292891328064).

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

135308577888 is a wasteful number, since it uses less digits than its factorization.

135308577888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 135308577888 in words is "one hundred thirty-five billion, three hundred eight million, five hundred seventy-seven thousand, eight hundred eighty-eight".