205136460 has 72 divisors (see below), whose sum is σ = 623955696. Its totient is φ = 54552960.

The previous prime is 205136443. The next prime is 205136567. The reversal of 205136460 is 64631502.

205136460 is a `hidden beast` number, since 2 + 0 + 5 + 13 + 646 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 74427 + ... + 77133.

Almost surely, 2^205136460 is an apocalyptic number.

205136460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205136460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311977848).

205136460 is an abundant number, since it is smaller than the sum of its proper divisors (418819236).

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

205136460 is a wasteful number, since it uses less digits than its factorization.

205136460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 205136460 is about 14322.5856604176. The cubic root of 205136460 is about 589.7676572463.

Adding to 205136460 its reverse (64631502), we get a palindrome (269767962).

The spelling of 205136460 in words is "two hundred five million, one hundred thirty-six thousand, four hundred sixty".