165005200 has 60 divisors (see below), whose sum is σ = 407175700. Its totient is φ = 64212480.

The previous prime is 165005189. The next prime is 165005221. The reversal of 165005200 is 2500561.

It is a happy number.

165005200 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 6 ways, for example, as 36864 + 164968336 = 192^2 + 12844^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9226 + ... + 20374.

Almost surely, 2^165005200 is an apocalyptic number.

165005200 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 165005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203587850).

165005200 is an abundant number, since it is smaller than the sum of its proper divisors (242170500).

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

165005200 is a wasteful number, since it uses less digits than its factorization.

165005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11193 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 165005200 is about 12845.4349867959. The cubic root of 165005200 is about 548.4864169997.

Adding to 165005200 its reverse (2500561), we get a palindrome (167505761).

The spelling of 165005200 in words is "one hundred sixty-five million, five thousand, two hundred".