195664144 has 45 divisors (see below), whose sum is σ = 412035663. Its totient is φ = 89970816.

The previous prime is 195664141. The next prime is 195664153. The reversal of 195664144 is 441466591.

The square root of 195664144 is 13988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 123210000 + 72454144 = 11100^2 + 8512^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 195664097 and 195664106.

It is not an unprimeable number, because it can be changed into a prime (195664141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 727242 + ... + 727510.

Almost surely, 2^195664144 is an apocalyptic number.

195664144 is the 13988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195664144

195664144 is an abundant number, since it is smaller than the sum of its proper divisors (216371519).

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

195664144 is an equidigital number, since it uses as much as digits as its factorization.

195664144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 284 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The cubic root of 195664144 is about 580.5465953063.

The spelling of 195664144 in words is "one hundred ninety-five million, six hundred sixty-four thousand, one hundred forty-four".