136816246407168 has 540 divisors, whose sum is σ = 406223122454604. Its totient is φ = 44354646835200.

The previous prime is 136816246407157. The next prime is 136816246407193. The reversal of 136816246407168 is 861704642618631.

136816246407168 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 1 + 6 + 2 + 464 + 0 + 7 + 168 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38564696162304 + 98251550244864 = 6210048^2 + 9912192^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 439923621733 + ... + 439923622043.

Almost surely, 2^{136816246407168} is an apocalyptic number.

136816246407168 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 136816246407168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203111561227302).

136816246407168 is an abundant number, since it is smaller than the sum of its proper divisors (269406876047436).

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

136816246407168 is an frugal number, since it uses more digits than its factorization.

136816246407168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 136816246407168 in words is "one hundred thirty-six trillion, eight hundred sixteen billion, two hundred forty-six million, four hundred seven thousand, one hundred sixty-eight".