165444120 has 96 divisors (see below), whose sum is σ = 557640720. Its totient is φ = 44115840.

The previous prime is 165444113. The next prime is 165444121. The reversal of 165444120 is 21444561.

165444120 is a `hidden beast` number, since 1 + 654 + 4 + 4 + 1 + 2 + 0 = 666.

165444120 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165444121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1210 + ... + 18230.

Almost surely, 2^165444120 is an apocalyptic number.

165444120 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 165444120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278820360).

165444120 is an abundant number, since it is smaller than the sum of its proper divisors (392196600).

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

165444120 is a wasteful number, since it uses less digits than its factorization.

165444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17047 (or 17031 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 165444120 is about 12862.5083090352. The cubic root of 165444120 is about 548.9723178732.

Adding to 165444120 its reverse (21444561), we get a palindrome (186888681).

The spelling of 165444120 in words is "one hundred sixty-five million, four hundred forty-four thousand, one hundred twenty".