165144096 has 240 divisors, whose sum is σ = 544282200. Its totient is φ = 49061376.

The previous prime is 165144073. The next prime is 165144097. The reversal of 165144096 is 690441561.

165144096 is a `hidden beast` number, since 16 + 514 + 40 + 96 = 666.

165144096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7290000 + 157854096 = 2700^2 + 12564^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165144096.

It is not an unprimeable number, because it can be changed into a prime (165144097) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5694610 + ... + 5694638.

Almost surely, 2^165144096 is an apocalyptic number.

165144096 is a gapful number since it is divisible by the number (16) 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 165144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272141100).

165144096 is an abundant number, since it is smaller than the sum of its proper divisors (379138104).

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

165144096 is an equidigital number, since it uses as much as digits as its factorization.

165144096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165144096 is about 12850.8402838102. The cubic root of 165144096 is about 548.6402731678.

The spelling of 165144096 in words is "one hundred sixty-five million, one hundred forty-four thousand, ninety-six".