135583006608 has 480 divisors, whose sum is σ = 458543794176. Its totient is φ = 36592238592.

The previous prime is 135583006549. The next prime is 135583006619. The reversal of 135583006608 is 806600385531.

135583006608 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 8 + 30 + 0 + 6 + 608 = 666.

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 95 ways as a sum of consecutive naturals, for example, 223365441 + ... + 223366047.

Almost surely, 2^135583006608 is an apocalyptic number.

135583006608 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 135583006608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229271897088).

135583006608 is an abundant number, since it is smaller than the sum of its proper divisors (322960787568).

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

135583006608 is a wasteful number, since it uses less digits than its factorization.

135583006608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 135583006608 in words is "one hundred thirty-five billion, five hundred eighty-three million, six thousand, six hundred eight".