195132960 has 288 divisors, whose sum is σ = 739694592. Its totient is φ = 46448640.

The previous prime is 195132937. The next prime is 195132991. The reversal of 195132960 is 69231591.

It is a Cunningham number, because it is equal to 13969²-1.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1536417 + ... + 1536543.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 2^195132960 is an apocalyptic number.

195132960 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 195132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369847296).

195132960 is an abundant number, since it is smaller than the sum of its proper divisors (544561632).

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

195132960 is a wasteful number, since it uses less digits than its factorization.

195132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 195132960 is about 13968.9999642065. Note that the first 4 decimals coincide. The cubic root of 195132960 is about 580.0207681822.

The spelling of 195132960 in words is "one hundred ninety-five million, one hundred thirty-two thousand, nine hundred sixty".