136064056073200 has 240 divisors, whose sum is σ = 331831512540000. Its totient is φ = 53608616427520.

The previous prime is 136064056073171. The next prime is 136064056073201. The reversal of 136064056073200 is 2370650460631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136064056073201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10533713142 + ... + 10533726058.

It is an arithmetic number, because the mean of its divisors is an integer number (1382631302250).

Almost surely, 2^{136064056073200} is an apocalyptic number.

136064056073200 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 136064056073200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165915756270000).

136064056073200 is an abundant number, since it is smaller than the sum of its proper divisors (195767456466800).

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

136064056073200 is a wasteful number, since it uses less digits than its factorization.

136064056073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14132 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 43.

The spelling of 136064056073200 in words is "one hundred thirty-six trillion, sixty-four billion, fifty-six million, seventy-three thousand, two hundred".