205142445144 has 192 divisors, whose sum is σ = 695019474240. Its totient is φ = 53216455680.

The previous prime is 205142445139. The next prime is 205142445163. The reversal of 205142445144 is 441544241502.

205142445144 is a `hidden beast` number, since 2 + 0 + 51 + 424 + 45 + 144 = 666.

205142445144 is digitally balanced in base 2 and base 3, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 205142445099 and 205142445108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143034 + ... + 656310.

It is an arithmetic number, because the mean of its divisors is an integer number (3619893095).

Almost surely, 2^205142445144 is an apocalyptic number.

205142445144 is a gapful number since it is divisible by the number (24) 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 205142445144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347509737120).

205142445144 is an abundant number, since it is smaller than the sum of its proper divisors (489877029096).

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

205142445144 is a wasteful number, since it uses less digits than its factorization.

205142445144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513370 (or 513363 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 205142445144 its reverse (441544241502), we get a palindrome (646686686646).

The spelling of 205142445144 in words is "two hundred five billion, one hundred forty-two million, four hundred forty-five thousand, one hundred forty-four".