195144069120 has 1664 divisors, whose sum is σ = 887741890560. Its totient is φ = 35247882240.

The previous prime is 195144069091. The next prime is 195144069121. The reversal of 195144069120 is 21960441591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×195144069120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (195144069121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1168527277 + ... + 1168527443.

Almost surely, 2^195144069120 is an apocalyptic number.

195144069120 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 195144069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443870945280).

195144069120 is an abundant number, since it is smaller than the sum of its proper divisors (692597821440).

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

195144069120 is a wasteful number, since it uses less digits than its factorization.

195144069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 195144069120 in words is "one hundred ninety-five billion, one hundred forty-four million, sixty-nine thousand, one hundred twenty".