165894144 has 192 divisors, whose sum is σ = 499000320. Its totient is φ = 48660480.

The previous prime is 165894139. The next prime is 165894163. The reversal of 165894144 is 441498561.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 165894096 and 165894105.

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, 2475999 + ... + 2476065.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2^165894144 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 165894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

165894144 is an abundant number, since it is smaller than the sum of its proper divisors (333106176).

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

165894144 is a wasteful number, since it uses less digits than its factorization.

165894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 165894144 is about 12879.9900621080. The cubic root of 165894144 is about 549.4696198337.

The spelling of 165894144 in words is "one hundred sixty-five million, eight hundred ninety-four thousand, one hundred forty-four".