165038112 has 54 divisors (see below), whose sum is σ = 469947933. Its totient is φ = 54940032.

The previous prime is 165038051. The next prime is 165038119. The reversal of 165038112 is 211830561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

165038112 is a `hidden beast` number, since 1 + 650 + 3 + 8 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162715536 + 2322576 = 12756^2 + 1524^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9084.

It is not an unprimeable number, because it can be changed into a prime (165038119) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 217638 + ... + 218394.

Almost surely, 2^165038112 is an apocalyptic number.

165038112 is a gapful number since it is divisible by the number (12) 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 165038112

165038112 is an abundant number, since it is smaller than the sum of its proper divisors (304909821).

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

165038112 is an frugal number, since it uses more digits than its factorization.

165038112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 165038112 is about 12846.7160005972. The cubic root of 165038112 is about 548.5228816786.

Adding to 165038112 its reverse (211830561), we get a palindrome (376868673).

The spelling of 165038112 in words is "one hundred sixty-five million, thirty-eight thousand, one hundred twelve".