165126 has 32 divisors (see below), whose sum is σ = 372960. Its totient is φ = 48384.

The previous prime is 165103. The next prime is 165133. The reversal of 165126 is 621561.

It is a happy number.

Its product of digits (360) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

165126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 2298.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2¹⁶⁵¹²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186480).

165126 is an abundant number, since it is smaller than the sum of its proper divisors (207834).

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

165126 is a wasteful number, since it uses less digits than its factorization.

165126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

The product of its digits is 360, while the sum is 21.

The square root of 165126 is about 406.3569859126. The cubic root of 165126 is about 54.8620232978.

Adding to 165126 its reverse (621561), we get a palindrome (786687).

The spelling of 165126 in words is "one hundred sixty-five thousand, one hundred twenty-six".