165235200 has 240 divisors, whose sum is σ = 589608096. Its totient is φ = 40550400.

The previous prime is 165235181. The next prime is 165235249. The reversal of 165235200 is 2532561.

165235200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499035 + ... + 499365.

Almost surely, 2^165235200 is an apocalyptic number.

165235200 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 165235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294804048).

165235200 is an abundant number, since it is smaller than the sum of its proper divisors (424372896).

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

165235200 is a wasteful number, since it uses less digits than its factorization.

165235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 165235200 is about 12854.3844660100. The cubic root of 165235200 is about 548.7411429257.

Adding to 165235200 its reverse (2532561), we get a palindrome (167767761).

The spelling of 165235200 in words is "one hundred sixty-five million, two hundred thirty-five thousand, two hundred".