205189128 has 24 divisors (see below), whose sum is σ = 555720750. Its totient is φ = 68396352.

The previous prime is 205189073. The next prime is 205189139. The reversal of 205189128 is 821981502.

It can be written as a sum of positive squares in only one way, i.e., 139287204 + 65901924 = 11802^2 + 8118^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205189092 and 205189101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1424853 + ... + 1424996.

Almost surely, 2^205189128 is an apocalyptic number.

It is an amenable number.

205189128 is an abundant number, since it is smaller than the sum of its proper divisors (350531622).

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

205189128 is a wasteful number, since it uses less digits than its factorization.

205189128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849861 (or 2849854 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 205189128 is about 14324.4241769085. The cubic root of 205189128 is about 589.8181264560.

It can be divided in two parts, 20518 and 9128, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 205189128 in words is "two hundred five million, one hundred eighty-nine thousand, one hundred twenty-eight".