205713045136 has 45 divisors (see below), whose sum is σ = 401789912923. Its totient is φ = 102031957760.

The previous prime is 205713045071. The next prime is 205713045151. The reversal of 205713045136 is 631540317502.

The square root of 205713045136 is 453556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 174426510736 + 31286534400 = 417644^2 + 176880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205713045095 and 205713045104.

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 8 ways as a sum of consecutive naturals, for example, 270318996 + ... + 270319756.

Almost surely, 2^205713045136 is an apocalyptic number.

205713045136 is the 453556-th square number.

It is an amenable number.

205713045136 is a deficient number, since it is larger than the sum of its proper divisors (196076867787).

205713045136 is an frugal number, since it uses more digits than its factorization.

205713045136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 205713045136 in words is "two hundred five billion, seven hundred thirteen million, forty-five thousand, one hundred thirty-six".