205120188 has 168 divisors, whose sum is σ = 663249888. Its totient is φ = 54027648.

The previous prime is 205120183. The next prime is 205120231. The reversal of 205120188 is 881021502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205120183) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 264970 + ... + 265742.

It is an arithmetic number, because the mean of its divisors is an integer number (3947916).

Almost surely, 2^205120188 is an apocalyptic number.

205120188 is a gapful number since it is divisible by the number (28) 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 205120188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331624944).

205120188 is an abundant number, since it is smaller than the sum of its proper divisors (458129700).

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

205120188 is a wasteful number, since it uses less digits than its factorization.

205120188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 205120188 is about 14322.0175952971. The cubic root of 205120188 is about 589.7520628252.

The spelling of 205120188 in words is "two hundred five million, one hundred twenty thousand, one hundred eighty-eight".