195048000 has 560 divisors, whose sum is σ = 843832704. Its totient is φ = 43545600.

The previous prime is 195047999. The next prime is 195048011. The reversal of 195048000 is 840591.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535979 + ... + 4536021.

Almost surely, 2^195048000 is an apocalyptic number.

195048000 is a gapful number since it is divisible by the number (10) 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 195048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421916352).

195048000 is an abundant number, since it is smaller than the sum of its proper divisors (648784704).

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

195048000 is an equidigital number, since it uses as much as digits as its factorization.

195048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 195048000 is about 13965.9586137150. The cubic root of 195048000 is about 579.9365764973.

Adding to 195048000 its reverse (840591), we get a palindrome (195888591).

The spelling of 195048000 in words is "one hundred ninety-five million, forty-eight thousand".