165131212160 has 128 divisors (see below), whose sum is σ = 412251033600. Its totient is φ = 63131498496.

The previous prime is 165131212139. The next prime is 165131212163. The reversal of 165131212160 is 61212131561.

165131212160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165131212163) 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, 23062661 + ... + 23069819.

It is an arithmetic number, because the mean of its divisors is an integer number (3220711200).

Almost surely, 2^165131212160 is an apocalyptic number.

165131212160 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 165131212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206125516800).

165131212160 is an abundant number, since it is smaller than the sum of its proper divisors (247119821440).

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

165131212160 is a wasteful number, since it uses less digits than its factorization.

165131212160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8756 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The spelling of 165131212160 in words is "one hundred sixty-five billion, one hundred thirty-one million, two hundred twelve thousand, one hundred sixty".