205140 has 48 divisors (see below), whose sum is σ = 620928. Its totient is φ = 50304.

The previous prime is 205133. The next prime is 205141. The reversal of 205140 is 41502.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205140.

It is not an unprimeable number, because it can be changed into a prime (205141) by changing a digit.

205140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2²⁰⁵¹⁴⁰ is an apocalyptic number.

205140 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 205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310464).

205140 is an abundant number, since it is smaller than the sum of its proper divisors (415788).

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

205140 is a wasteful number, since it uses less digits than its factorization.

205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 205140 is about 452.9238346566. The cubic root of 205140 is about 58.9771049729.

Adding to 205140 its reverse (41502), we get a palindrome (246642).

The spelling of 205140 in words is "two hundred five thousand, one hundred forty".