165366144 has 128 divisors (see below), whose sum is σ = 496944000. Its totient is φ = 54120960.

The previous prime is 165366137. The next prime is 165366151. The reversal of 165366144 is 441663561.

It is a happy number.

165366144 is a `hidden beast` number, since 1 + 6 + 5 + 36 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (165366137) and next prime (165366151).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 165366099 and 165366108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203499 + ... + 204309.

It is an arithmetic number, because the mean of its divisors is an integer number (3882375).

Almost surely, 2^165366144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248472000).

165366144 is an abundant number, since it is smaller than the sum of its proper divisors (331577856).

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

165366144 is an equidigital number, since it uses as much as digits as its factorization.

165366144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 875 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 165366144 is about 12859.4768167294. The cubic root of 165366144 is about 548.8860583508.

The spelling of 165366144 in words is "one hundred sixty-five million, three hundred sixty-six thousand, one hundred forty-four".