208930085136 has 120 divisors (see below), whose sum is σ = 620625690360. Its totient is φ = 65386119168.

The previous prime is 208930085113. The next prime is 208930085137. The reversal of 208930085136 is 631580039802.

It is a happy number.

208930085136 is a `hidden beast` number, since 20 + 89 + 30 + 0 + 8 + 513 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55065315600 + 153864769536 = 234660^2 + 392256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 208930085091 and 208930085100.

It is not an unprimeable number, because it can be changed into a prime (208930085137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896896 + ... + 1105568.

It is an arithmetic number, because the mean of its divisors is an integer number (5171880753).

Almost surely, 2^208930085136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208930085136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310312845180).

208930085136 is an abundant number, since it is smaller than the sum of its proper divisors (411695605224).

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

208930085136 is a wasteful number, since it uses less digits than its factorization.

208930085136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209113 (or 209104 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 208930085136 in words is "two hundred eight billion, nine hundred thirty million, eighty-five thousand, one hundred thirty-six".