195392000 has 160 divisors (see below), whose sum is σ = 505574784. Its totient is φ = 75264000.

The previous prime is 195391993. The next prime is 195392009. The reversal of 195392000 is 293591.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195392009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2751965 + ... + 2752035.

Almost surely, 2^195392000 is an apocalyptic number.

195392000 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 195392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392).

195392000 is an abundant number, since it is smaller than the sum of its proper divisors (310182784).

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

195392000 is an frugal number, since it uses more digits than its factorization.

195392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 195392000 is about 13978.2688484662. The cubic root of 195392000 is about 580.2773148697.

The spelling of 195392000 in words is "one hundred ninety-five million, three hundred ninety-two thousand".