168135561000 has 512 divisors, whose sum is σ = 639109785600. Its totient is φ = 40551840000.

The previous prime is 168135560947. The next prime is 168135561001. The reversal of 168135561000 is 165531861.

168135561000 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 35 + 5 + 610 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (168135561001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62665659 + ... + 62668341.

It is an arithmetic number, because the mean of its divisors is an integer number (1248261300).

Almost surely, 2^168135561000 is an apocalyptic number.

168135561000 is a gapful number since it is divisible by the number (10) 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 168135561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319554892800).

168135561000 is an abundant number, since it is smaller than the sum of its proper divisors (470974224600).

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

168135561000 is a wasteful number, since it uses less digits than its factorization.

168135561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 168135561000 in words is "one hundred sixty-eight billion, one hundred thirty-five million, five hundred sixty-one thousand".