195945136128 has 512 divisors, whose sum is σ = 687016512000. Its totient is φ = 54004285440.

The previous prime is 195945136069. The next prime is 195945136171. The reversal of 195945136128 is 821631549591.

195945136128 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 4 + 5 + 13 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179600863 + ... + 179601953.

It is an arithmetic number, because the mean of its divisors is an integer number (1341829125).

Almost surely, 2^195945136128 is an apocalyptic number.

195945136128 is a gapful number since it is divisible by the number (18) 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 195945136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343508256000).

195945136128 is an abundant number, since it is smaller than the sum of its proper divisors (491071375872).

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

195945136128 is an equidigital number, since it uses as much as digits as its factorization.

195945136128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1132 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 195945136128 in words is "one hundred ninety-five billion, nine hundred forty-five million, one hundred thirty-six thousand, one hundred twenty-eight".