205235133402 has 128 divisors (see below), whose sum is σ = 479029469184. Its totient is φ = 58045529088.

The previous prime is 205235133391. The next prime is 205235133409. The reversal of 205235133402 is 204331532502.

It is a self number, because there is not a number n which added to its sum of digits gives 205235133402.

It is not an unprimeable number, because it can be changed into a prime (205235133409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31344693 + ... + 31351239.

It is an arithmetic number, because the mean of its divisors is an integer number (3742417728).

Almost surely, 2^205235133402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205235133402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239514734592).

205235133402 is an abundant number, since it is smaller than the sum of its proper divisors (273794335782).

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

205235133402 is a wasteful number, since it uses less digits than its factorization.

205235133402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 205235133402 its reverse (204331532502), we get a palindrome (409566665904).

The spelling of 205235133402 in words is "two hundred five billion, two hundred thirty-five million, one hundred thirty-three thousand, four hundred two".