205152140 has 48 divisors (see below), whose sum is σ = 444074400. Its totient is φ = 79564800.

The previous prime is 205152127. The next prime is 205152173. The reversal of 205152140 is 41251502.

205152140 is digitally balanced in base 3, 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127340 + ... + 128940.

It is an arithmetic number, because the mean of its divisors is an integer number (9251550).

Almost surely, 2^205152140 is an apocalyptic number.

205152140 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 205152140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222037200).

205152140 is an abundant number, since it is smaller than the sum of its proper divisors (238922260).

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

205152140 is a wasteful number, since it uses less digits than its factorization.

205152140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 205152140 is about 14323.1330371536. The cubic root of 205152140 is about 589.7826835387.

The spelling of 205152140 in words is "two hundred five million, one hundred fifty-two thousand, one hundred forty".