205014144 has 64 divisors (see below), whose sum is σ = 553860000. Its totient is φ = 67172352.

The previous prime is 205014109. The next prime is 205014163. The reversal of 205014144 is 441410502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 205014144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18132 + ... + 27180.

Almost surely, 2^205014144 is an apocalyptic number.

205014144 is a gapful number since it is divisible by the number (24) 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 205014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276930000).

205014144 is an abundant number, since it is smaller than the sum of its proper divisors (348845856).

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

205014144 is an equidigital number, since it uses as much as digits as its factorization.

205014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9125 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 205014144 is about 14318.3149846621. The cubic root of 205014144 is about 589.6504143741.

Adding to 205014144 its reverse (441410502), we get a palindrome (646424646).

The spelling of 205014144 in words is "two hundred five million, fourteen thousand, one hundred forty-four".