205157150120 has 128 divisors (see below), whose sum is σ = 499296299040. Its totient is φ = 75418337280.

The previous prime is 205157150111. The next prime is 205157150141. The reversal of 205157150120 is 21051751502.

205157150120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 4831084036 + 200326066084 = 69506^2 + 447578^2 .

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 31 ways as a sum of consecutive naturals, for example, 160654922 + ... + 160656198.

Almost surely, 2^205157150120 is an apocalyptic number.

205157150120 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 205157150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249648149520).

205157150120 is an abundant number, since it is smaller than the sum of its proper divisors (294139148920).

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

205157150120 is a wasteful number, since it uses less digits than its factorization.

205157150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 29.

The spelling of 205157150120 in words is "two hundred five billion, one hundred fifty-seven million, one hundred fifty thousand, one hundred twenty".