136473168568320 has 1344 divisors, whose sum is σ = 504683271316224. Its totient is φ = 34062194442240.

The previous prime is 136473168568301. The next prime is 136473168568327. The reversal of 136473168568320 is 23865861374631.

136473168568320 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 7 + 3 + 1 + 68 + 568 + 3 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136473168568327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40823560569 + ... + 40823563911.

It is an arithmetic number, because the mean of its divisors is an integer number (375508386396).

Almost surely, 2^{136473168568320} is an apocalyptic number.

136473168568320 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 136473168568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252341635658112).

136473168568320 is an abundant number, since it is smaller than the sum of its proper divisors (368210102747904).

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

136473168568320 is a wasteful number, since it uses less digits than its factorization.

136473168568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

It can be divided in two parts, 1364731 and 68568320, that added together give a triangular number (69933051 = T₁₁₈₂₆).

The spelling of 136473168568320 in words is "one hundred thirty-six trillion, four hundred seventy-three billion, one hundred sixty-eight million, five hundred sixty-eight thousand, three hundred twenty".