165041320 has 64 divisors (see below), whose sum is σ = 389610000. Its totient is φ = 62834688.

The previous prime is 165041293. The next prime is 165041323. The reversal of 165041320 is 23140561.

It can be written as a sum of positive squares in 8 ways, for example, as 105226564 + 59814756 = 10258^2 + 7734^2 .

It is a junction number, because it is equal to n+sod(n) for n = 165041291 and 165041300.

It is not an unprimeable number, because it can be changed into a prime (165041323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83706 + ... + 85654.

Almost surely, 2^165041320 is an apocalyptic number.

165041320 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 165041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194805000).

165041320 is an abundant number, since it is smaller than the sum of its proper divisors (224568680).

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

165041320 is a wasteful number, since it uses less digits than its factorization.

165041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 165041320 is about 12846.8408568021. The cubic root of 165041320 is about 548.5264357062.

Adding to 165041320 its reverse (23140561), we get a palindrome (188181881).

The spelling of 165041320 in words is "one hundred sixty-five million, forty-one thousand, three hundred twenty".