165040200 has 192 divisors, whose sum is σ = 612460800. Its totient is φ = 40608000.

The previous prime is 165040177. The next prime is 165040207. The reversal of 165040200 is 2040561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (165040207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69025 + ... + 71375.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2^165040200 is an apocalyptic number.

165040200 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 165040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306230400).

165040200 is an abundant number, since it is smaller than the sum of its proper divisors (447420600).

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

165040200 is a wasteful number, since it uses less digits than its factorization.

165040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 165040200 is about 12846.7972662450. The cubic root of 165040200 is about 548.5251949038.

Adding to 165040200 its reverse (2040561), we get a palindrome (167080761).

The spelling of 165040200 in words is "one hundred sixty-five million, forty thousand, two hundred".