195315120 has 480 divisors, whose sum is σ = 883943424. Its totient is φ = 37324800.

The previous prime is 195315101. The next prime is 195315139. The reversal of 195315120 is 21513591.

195315120 is a `hidden beast` number, since 1 + 9 + 531 + 5 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (195315101) and next prime (195315139).

It is a super-2 number, since 2×195315120² = 76295992201228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720585 + ... + 720855.

Almost surely, 2^195315120 is an apocalyptic number.

195315120 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 195315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441971712).

195315120 is an abundant number, since it is smaller than the sum of its proper divisors (688628304).

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

195315120 is a wasteful number, since it uses less digits than its factorization.

195315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 195315120 is about 13975.5185950290. The cubic root of 195315120 is about 580.2011985287.

The spelling of 195315120 in words is "one hundred ninety-five million, three hundred fifteen thousand, one hundred twenty".