165365200 has 360 divisors, whose sum is σ = 552152160. Its totient is φ = 46771200.

The previous prime is 165365111. The next prime is 165365201. The reversal of 165365200 is 2563561.

165365200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165365201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2802771 + ... + 2802829.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 2^165365200 is an apocalyptic number.

165365200 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 165365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276076080).

165365200 is an abundant number, since it is smaller than the sum of its proper divisors (386786960).

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

165365200 is a wasteful number, since it uses less digits than its factorization.

165365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 165365200 is about 12859.4401122288. The cubic root of 165365200 is about 548.8850139020.

It can be divided in two parts, 16536 and 5200, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 165365200 in words is "one hundred sixty-five million, three hundred sixty-five thousand, two hundred".