206543132711136 has 672 divisors, whose sum is σ = 689480187117120. Its totient is φ = 60401105436672.

The previous prime is 206543132711081. The next prime is 206543132711183. The reversal of 206543132711136 is 631117231345602.

206543132711136 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 431 + 32 + 71 + 113 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 206543132711091 and 206543132711100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1094992000 + ... + 1095180608.

It is an arithmetic number, because the mean of its divisors is an integer number (1026012183210).

Almost surely, 2^{206543132711136} is an apocalyptic number.

206543132711136 is a gapful number since it is divisible by the number (26) 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 206543132711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344740093558560).

206543132711136 is an abundant number, since it is smaller than the sum of its proper divisors (482937054405984).

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

206543132711136 is a wasteful number, since it uses less digits than its factorization.

206543132711136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188830 (or 188807 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 206543132711136 in words is "two hundred six trillion, five hundred forty-three billion, one hundred thirty-two million, seven hundred eleven thousand, one hundred thirty-six".