205140901000 has 192 divisors, whose sum is σ = 559030792320. Its totient is φ = 70254844800.

The previous prime is 205140900983. The next prime is 205140901057. The reversal of 205140901000 is 109041502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58161237 + ... + 58164763.

It is an arithmetic number, because the mean of its divisors is an integer number (2911618710).

Almost surely, 2^205140901000 is an apocalyptic number.

205140901000 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 205140901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279515396160).

205140901000 is an abundant number, since it is smaller than the sum of its proper divisors (353889891320).

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

205140901000 is a wasteful number, since it uses less digits than its factorization.

205140901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 205140901000 its reverse (109041502), we get a palindrome (205249942502).

The spelling of 205140901000 in words is "two hundred five billion, one hundred forty million, nine hundred one thousand".