205136816 has 40 divisors (see below), whose sum is σ = 416089440. Its totient is φ = 97788416.

The previous prime is 205136809. The next prime is 205136831. The reversal of 205136816 is 618631502.

It is a happy number.

It is a super-2 number, since 2×205136816² = 84162226557235712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142436 + ... + 143868.

It is an arithmetic number, because the mean of its divisors is an integer number (10402236).

Almost surely, 2^205136816 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 205136816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208044720).

205136816 is an abundant number, since it is smaller than the sum of its proper divisors (210952624).

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

205136816 is a wasteful number, since it uses less digits than its factorization.

205136816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 205136816 is about 14322.5980883358. The cubic root of 205136816 is about 589.7679984130.

The spelling of 205136816 in words is "two hundred five million, one hundred thirty-six thousand, eight hundred sixteen".