165303900160 has 192 divisors, whose sum is σ = 455032468800. Its totient is φ = 56458346496.

The previous prime is 165303900137. The next prime is 165303900169. The reversal of 165303900160 is 61009303561.

165303900160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165303900169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19277634 + ... + 19286206.

It is an arithmetic number, because the mean of its divisors is an integer number (2369960775).

Almost surely, 2^165303900160 is an apocalyptic number.

165303900160 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 165303900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227516234400).

165303900160 is an abundant number, since it is smaller than the sum of its proper divisors (289728568640).

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

165303900160 is an equidigital number, since it uses as much as digits as its factorization.

165303900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8856 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 165303900160 in words is "one hundred sixty-five billion, three hundred three million, nine hundred thousand, one hundred sixty".