195148800 has 594 divisors, whose sum is σ = 877737224. Its totient is φ = 40550400.

The previous prime is 195148799. The next prime is 195148871. The reversal of 195148800 is 8841591.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17740795 + ... + 17740805.

Almost surely, 2^195148800 is an apocalyptic number.

195148800 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 195148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438868612).

195148800 is an abundant number, since it is smaller than the sum of its proper divisors (682588424).

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

195148800 is a wasteful number, since it uses less digits than its factorization.

195148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 195148800 is about 13969.5669224210. The cubic root of 195148800 is about 580.0364622341.

The spelling of 195148800 in words is "one hundred ninety-five million, one hundred forty-eight thousand, eight hundred".