195121440 has 288 divisors, whose sum is σ = 720679680. Its totient is φ = 49282560.

The previous prime is 195121411. The next prime is 195121499. The reversal of 195121440 is 44121591.

195121440 is a `hidden beast` number, since 1 + 9 + 512 + 144 + 0 = 666.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4151497 + ... + 4151543.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 2^195121440 is an apocalyptic number.

195121440 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 195121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360339840).

195121440 is an abundant number, since it is smaller than the sum of its proper divisors (525558240).

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

195121440 is a wasteful number, since it uses less digits than its factorization.

195121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

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

The square root of 195121440 is about 13968.5876165058. The cubic root of 195121440 is about 580.0093537929.

The spelling of 195121440 in words is "one hundred ninety-five million, one hundred twenty-one thousand, four hundred forty".