205142335132 has 72 divisors (see below), whose sum is σ = 430006449600. Its totient is φ = 85320902016.

The previous prime is 205142335109. The next prime is 205142335157. The reversal of 205142335132 is 231533241502.

It is a junction number, because it is equal to n+sod(n) for n = 205142335094 and 205142335103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2784669 + ... + 2857387.

It is an arithmetic number, because the mean of its divisors is an integer number (5972311800).

Almost surely, 2^205142335132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205142335132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215003224800).

205142335132 is an abundant number, since it is smaller than the sum of its proper divisors (224864114468).

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

205142335132 is a wasteful number, since it uses less digits than its factorization.

205142335132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73163 (or 73154 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 205142335132 its reverse (231533241502), we get a palindrome (436675576634).

The spelling of 205142335132 in words is "two hundred five billion, one hundred forty-two million, three hundred thirty-five thousand, one hundred thirty-two".