205139200 has 216 divisors, whose sum is σ = 613363520. Its totient is φ = 66355200.

The previous prime is 205139159. The next prime is 205139227. The reversal of 205139200 is 2931502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851080 + ... + 851320.

Almost surely, 2^205139200 is an apocalyptic number.

205139200 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 205139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306681760).

205139200 is an abundant number, since it is smaller than the sum of its proper divisors (408224320).

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

205139200 is a wasteful number, since it uses less digits than its factorization.

205139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 205139200 is about 14322.6813132179. The cubic root of 205139200 is about 589.7702830695.

The spelling of 205139200 in words is "two hundred five million, one hundred thirty-nine thousand, two hundred".