136204808750208 has 768 divisors, whose sum is σ = 454661111923200. Its totient is φ = 40573894394880.

The previous prime is 136204808750203. The next prime is 136204808750209. The reversal of 136204808750208 is 802057808402631.

136204808750208 is a `hidden beast` number, since 1 + 3 + 62 + 0 + 480 + 87 + 5 + 0 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (136204808750203) 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, 2442538135 + ... + 2442593897.

It is an arithmetic number, because the mean of its divisors is an integer number (592006656150).

Almost surely, 2^{136204808750208} is an apocalyptic number.

136204808750208 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 136204808750208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227330555961600).

136204808750208 is an abundant number, since it is smaller than the sum of its proper divisors (318456303172992).

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

136204808750208 is an frugal number, since it uses more digits than its factorization.

136204808750208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55884 (or 55838 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 136204808750208 in words is "one hundred thirty-six trillion, two hundred four billion, eight hundred eight million, seven hundred fifty thousand, two hundred eight".