195258128 has 40 divisors (see below), whose sum is σ = 408604056. Its totient is φ = 89856000.

The previous prime is 195258127. The next prime is 195258143. The reversal of 195258128 is 821852591.

It can be written as a sum of positive squares in 4 ways, for example, as 65480464 + 129777664 = 8092^2 + 11392^2 .

It is a super-3 number, since 3×195258128³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (195258121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82238 + ... + 84578.

Almost surely, 2^195258128 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 195258128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204302028).

195258128 is an abundant number, since it is smaller than the sum of its proper divisors (213345928).

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

195258128 is a wasteful number, since it uses less digits than its factorization.

195258128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2757 counting only the distinct ones).

The product of its digits is 57600, while the sum is 41.

The square root of 195258128 is about 13973.4794521622. The cubic root of 195258128 is about 580.1447597449.

The spelling of 195258128 in words is "one hundred ninety-five million, two hundred fifty-eight thousand, one hundred twenty-eight".