135930689975808 has 1440 divisors, whose sum is σ = 536491652336640. Its totient is φ = 33962641735680.

The previous prime is 135930689975737. The next prime is 135930689975813. The reversal of 135930689975808 is 808579986039531.

135930689975808 is a `hidden beast` number, since 1 + 359 + 30 + 6 + 8 + 99 + 75 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1505761713 + ... + 1505851983.

It is an arithmetic number, because the mean of its divisors is an integer number (372563647456).

Almost surely, 2^{135930689975808} is an apocalyptic number.

135930689975808 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 135930689975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268245826168320).

135930689975808 is an abundant number, since it is smaller than the sum of its proper divisors (400560962360832).

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

135930689975808 is an equidigital number, since it uses as much as digits as its factorization.

135930689975808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90350 (or 90315 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 81.

The spelling of 135930689975808 in words is "one hundred thirty-five trillion, nine hundred thirty billion, six hundred eighty-nine million, nine hundred seventy-five thousand, eight hundred eight".