165201120 has 288 divisors, whose sum is σ = 669247488. Its totient is φ = 37698048.

The previous prime is 165201119. The next prime is 165201137. The reversal of 165201120 is 21102561.

165201120 is a `hidden beast` number, since 1 + 652 + 0 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 165201093 and 165201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271857 + ... + 272463.

It is an arithmetic number, because the mean of its divisors is an integer number (2323776).

Almost surely, 2^165201120 is an apocalyptic number.

165201120 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 165201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

165201120 is an abundant number, since it is smaller than the sum of its proper divisors (504046368).

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

165201120 is an equidigital number, since it uses as much as digits as its factorization.

165201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 165201120 is about 12853.0587799169. The cubic root of 165201120 is about 548.7034141124.

Adding to 165201120 its reverse (21102561), we get a palindrome (186303681).

The spelling of 165201120 in words is "one hundred sixty-five million, two hundred one thousand, one hundred twenty".