165361200 has 120 divisors (see below), whose sum is σ = 542788176. Its totient is φ = 43008000.

The previous prime is 165361151. The next prime is 165361249. The reversal of 165361200 is 2163561.

165361200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165361151) and next prime (165361249).

It is a tau number, because it is divible by the number of its divisors (120).

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, 47520 + ... + 50880.

Almost surely, 2^165361200 is an apocalyptic number.

165361200 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 165361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271394088).

165361200 is an abundant number, since it is smaller than the sum of its proper divisors (377426976).

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

165361200 is a wasteful number, since it uses less digits than its factorization.

165361200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 165361200 is about 12859.2845835217. The cubic root of 165361200 is about 548.8805882273.

It can be divided in two parts, 165361 and 200, that added together give a palindrome (165561).

The spelling of 165361200 in words is "one hundred sixty-five million, three hundred sixty-one thousand, two hundred".