205010134312140 has 288 divisors, whose sum is σ = 693144217321920. Its totient is φ = 48742283132928.

The previous prime is 205010134312133. The next prime is 205010134312141. The reversal of 205010134312140 is 41213431010502.

205010134312140 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 1 + 0 + 13 + 431 + 214 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (205010134312141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966936622 + ... + 967148618.

It is an arithmetic number, because the mean of its divisors is an integer number (2406750754590).

Almost surely, 2^{205010134312140} is an apocalyptic number.

205010134312140 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 205010134312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346572108660960).

205010134312140 is an abundant number, since it is smaller than the sum of its proper divisors (488134083009780).

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

205010134312140 is a wasteful number, since it uses less digits than its factorization.

205010134312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228681 (or 228676 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 205010134312140 its reverse (41213431010502), we get a palindrome (246223565322642).

The spelling of 205010134312140 in words is "two hundred five trillion, ten billion, one hundred thirty-four million, three hundred twelve thousand, one hundred forty".