165145600 has 66 divisors (see below), whose sum is σ = 409424564. Its totient is φ = 66048000.

The previous prime is 165145567. The next prime is 165145601. The reversal of 165145600 is 6541561.

It is not an unprimeable number, because it can be changed into a prime (165145601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22375 + ... + 28825.

Almost surely, 2^165145600 is an apocalyptic number.

165145600 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 165145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204712282).

165145600 is an abundant number, since it is smaller than the sum of its proper divisors (244278964).

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

165145600 is an equidigital number, since it uses as much as digits as its factorization.

165145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 165145600 is about 12850.8988012512. The cubic root of 165145600 is about 548.6419386880.

The spelling of 165145600 in words is "one hundred sixty-five million, one hundred forty-five thousand, six hundred".