205134434160 has 80 divisors (see below), whose sum is σ = 636021033120. Its totient is φ = 54693544960.

The previous prime is 205134434129. The next prime is 205134434161. The reversal of 205134434160 is 61434431502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205134434161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466470 + ... + 1600250.

It is an arithmetic number, because the mean of its divisors is an integer number (7950262914).

Almost surely, 2^205134434160 is an apocalyptic number.

205134434160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205134434160 is an abundant number, since it is smaller than the sum of its proper divisors (430886598960).

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

205134434160 is a wasteful number, since it uses less digits than its factorization.

205134434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140186 (or 140180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 205134434160 its reverse (61434431502), we get a palindrome (266568865662).

The spelling of 205134434160 in words is "two hundred five billion, one hundred thirty-four million, four hundred thirty-four thousand, one hundred sixty".