165536000 has 144 divisors (see below), whose sum is σ = 471918720. Its totient is φ = 56678400.

The previous prime is 165535949. The next prime is 165536009. The reversal of 165536000 is 635561.

It is not an unprimeable number, because it can be changed into a prime (165536009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223631 + ... + 224369.

Almost surely, 2^165536000 is an apocalyptic number.

165536000 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 165536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235959360).

165536000 is an abundant number, since it is smaller than the sum of its proper divisors (306382720).

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

165536000 is an frugal number, since it uses more digits than its factorization.

165536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 165536000 is about 12866.0794339224. The cubic root of 165536000 is about 549.0739236645.

The spelling of 165536000 in words is "one hundred sixty-five million, five hundred thirty-six thousand".