205129307232 has 144 divisors (see below), whose sum is σ = 615267394560. Its totient is φ = 64648025856.

The previous prime is 205129307231. The next prime is 205129307233. The reversal of 205129307232 is 232703921502.

It is a happy number.

205129307232 is a `hidden beast` number, since 20 + 512 + 93 + 0 + 7 + 2 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (205129307231) and next prime (205129307233).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205129307231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2715153 + ... + 2789679.

It is an arithmetic number, because the mean of its divisors is an integer number (4272690240).

Almost surely, 2^205129307232 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 205129307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307633697280).

205129307232 is an abundant number, since it is smaller than the sum of its proper divisors (410138087328).

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

205129307232 is a wasteful number, since it uses less digits than its factorization.

205129307232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75065 (or 75054 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 205129307232 in words is "two hundred five billion, one hundred twenty-nine million, three hundred seven thousand, two hundred thirty-two".