205342140 has 96 divisors (see below), whose sum is σ = 604993536. Its totient is φ = 51966720.

The previous prime is 205342129. The next prime is 205342199. The reversal of 205342140 is 41243502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97539 + ... + 99621.

It is an arithmetic number, because the mean of its divisors is an integer number (6302016).

Almost surely, 2^205342140 is an apocalyptic number.

205342140 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 205342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302496768).

205342140 is an abundant number, since it is smaller than the sum of its proper divisors (399651396).

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

205342140 is a wasteful number, since it uses less digits than its factorization.

205342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 205342140 is about 14329.7641292521. The cubic root of 205342140 is about 589.9647015174.

Adding to 205342140 its reverse (41243502), we get a palindrome (246585642).

The spelling of 205342140 in words is "two hundred five million, three hundred forty-two thousand, one hundred forty".