135852972959808 has 224 divisors, whose sum is σ = 430191230649600. Its totient is φ = 41792468078592.

The previous prime is 135852972959797. The next prime is 135852972959923. The reversal of 135852972959808 is 808959279258531.

135852972959808 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 529 + 7 + 2 + 9 + 5 + 9 + 80 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 111015085 + ... + 112232147.

It is an arithmetic number, because the mean of its divisors is an integer number (1920496565400).

Almost surely, 2^{135852972959808} is an apocalyptic number.

135852972959808 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 135852972959808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215095615324800).

135852972959808 is an abundant number, since it is smaller than the sum of its proper divisors (294338257689792).

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

135852972959808 is a wasteful number, since it uses less digits than its factorization.

135852972959808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222066 (or 1222050 counting only the distinct ones).

The product of its (nonzero) digits is 3919104000, while the sum is 81.

The spelling of 135852972959808 in words is "one hundred thirty-five trillion, eight hundred fifty-two billion, nine hundred seventy-two million, nine hundred fifty-nine thousand, eight hundred eight".