165271120 has 160 divisors (see below), whose sum is σ = 473184000. Its totient is φ = 53512704.

The previous prime is 165271103. The next prime is 165271121. The reversal of 165271120 is 21172561.

165271120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165271121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521202 + ... + 521518.

It is an arithmetic number, because the mean of its divisors is an integer number (2957400).

Almost surely, 2^165271120 is an apocalyptic number.

165271120 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 165271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236592000).

165271120 is an abundant number, since it is smaller than the sum of its proper divisors (307912880).

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

165271120 is a wasteful number, since it uses less digits than its factorization.

165271120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 165271120 is about 12855.7815787295. The cubic root of 165271120 is about 548.7809031256.

The spelling of 165271120 in words is "one hundred sixty-five million, two hundred seventy-one thousand, one hundred twenty".