205144000 has 56 divisors (see below), whose sum is σ = 508058928. Its totient is φ = 82054400.

The previous prime is 205143959. The next prime is 205144001. The reversal of 205144000 is 441502.

205144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205144001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4822 + ... + 20821.

Almost surely, 2^205144000 is an apocalyptic number.

205144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205144000 is an abundant number, since it is smaller than the sum of its proper divisors (302914928).

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

205144000 is an equidigital number, since it uses as much as digits as its factorization.

205144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25670 (or 25650 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 205144000 is about 14322.8488786275. The cubic root of 205144000 is about 589.7748829953.

Adding to 205144000 its reverse (441502), we get a palindrome (205585502).

The spelling of 205144000 in words is "two hundred five million, one hundred forty-four thousand".