205148160 has 416 divisors, whose sum is σ = 849242880. Its totient is φ = 46006272.

The previous prime is 205148159. The next prime is 205148179. The reversal of 205148160 is 61841502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870694 + ... + 3870746.

Almost surely, 2^205148160 is an apocalyptic number.

205148160 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 205148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424621440).

205148160 is an abundant number, since it is smaller than the sum of its proper divisors (644094720).

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

205148160 is an equidigital number, since it uses as much as digits as its factorization.

205148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 205148160 is about 14322.9941003967. The cubic root of 205148160 is about 589.7788695395.

Adding to 205148160 its reverse (61841502), we get a palindrome (266989662).

The spelling of 205148160 in words is "two hundred five million, one hundred forty-eight thousand, one hundred sixty".