165120240 has 80 divisors (see below), whose sum is σ = 513458208. Its totient is φ = 43895808.

The previous prime is 165120239. The next prime is 165120271. The reversal of 165120240 is 42021561.

165120240 is digitally balanced in base 2, 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 (80).

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, 94414 + ... + 96146.

Almost surely, 2^165120240 is an apocalyptic number.

165120240 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 165120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256729104).

165120240 is an abundant number, since it is smaller than the sum of its proper divisors (348337968).

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

165120240 is a wasteful number, since it uses less digits than its factorization.

165120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 165120240 is about 12849.9120619559. The cubic root of 165120240 is about 548.6138538307.

The spelling of 165120240 in words is "one hundred sixty-five million, one hundred twenty thousand, two hundred forty".