165126820 has 12 divisors (see below), whose sum is σ = 346766364. Its totient is φ = 66050720.

The previous prime is 165126811. The next prime is 165126833. The reversal of 165126820 is 28621561.

165126820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 133587364 = 5616^2 + 11558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4128151 + ... + 4128190.

It is an arithmetic number, because the mean of its divisors is an integer number (28897197).

Almost surely, 2^165126820 is an apocalyptic number.

165126820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165126820 is an abundant number, since it is smaller than the sum of its proper divisors (181639544).

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

165126820 is a wasteful number, since it uses less digits than its factorization.

165126820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256350 (or 8256348 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 165126820 is about 12850.1680922858. The cubic root of 165126820 is about 548.6211411086.

It can be divided in two parts, 16512 and 6820, that added together give a palindrome (23332).

The spelling of 165126820 in words is "one hundred sixty-five million, one hundred twenty-six thousand, eight hundred twenty".