165234960 has 240 divisors, whose sum is σ = 625817088. Its totient is φ = 38707200.

The previous prime is 165234947. The next prime is 165234983. The reversal of 165234960 is 69432561.

It is a happy number.

165234960 is a `hidden beast` number, since 165 + 2 + 3 + 496 + 0 = 666.

165234960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245184 + ... + 245856.

Almost surely, 2^165234960 is an apocalyptic number.

165234960 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 165234960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312908544).

165234960 is an abundant number, since it is smaller than the sum of its proper divisors (460582128).

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

165234960 is a wasteful number, since it uses less digits than its factorization.

165234960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 165234960 is about 12854.3751306705. The cubic root of 165234960 is about 548.7408772480.

The spelling of 165234960 in words is "one hundred sixty-five million, two hundred thirty-four thousand, nine hundred sixty".