135493686551808 has 864 divisors, whose sum is σ = 445893550502400. Its totient is φ = 40782903902208.

The previous prime is 135493686551789. The next prime is 135493686551933. The reversal of 135493686551808 is 808155686394531.

135493686551808 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 3 + 68 + 6 + 551 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6963740416 + ... + 6963759872.

Almost surely, 2^{135493686551808} is an apocalyptic number.

135493686551808 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 135493686551808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222946775251200).

135493686551808 is an abundant number, since it is smaller than the sum of its proper divisors (310399863950592).

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

135493686551808 is a wasteful number, since it uses less digits than its factorization.

135493686551808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19689 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 135493686551808 in words is "one hundred thirty-five trillion, four hundred ninety-three billion, six hundred eighty-six million, five hundred fifty-one thousand, eight hundred eight".