205200126 has 24 divisors (see below), whose sum is σ = 444876744. Its totient is φ = 68357520.

The previous prime is 205200119. The next prime is 205200131. The reversal of 205200126 is 621002502.

205200126 is a `hidden beast` number, since 20 + 520 + 0 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205200099 and 205200108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42096 + ... + 46716.

It is an arithmetic number, because the mean of its divisors is an integer number (18536531).

Almost surely, 2^205200126 is an apocalyptic number.

205200126 is an abundant number, since it is smaller than the sum of its proper divisors (239676618).

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

205200126 is a wasteful number, since it uses less digits than its factorization.

205200126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7096 (or 7093 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205200126 is about 14324.8080615413. The cubic root of 205200126 is about 589.8286642201.

Adding to 205200126 its reverse (621002502), we get a palindrome (826202628).

The spelling of 205200126 in words is "two hundred five million, two hundred thousand, one hundred twenty-six".