165705120 has 288 divisors, whose sum is σ = 684972288. Its totient is φ = 35610624.

The previous prime is 165705079. The next prime is 165705157. The reversal of 165705120 is 21507561.

165705120 is a `hidden beast` number, since 1 + 657 + 0 + 5 + 1 + 2 + 0 = 666.

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

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, 170877 + ... + 171843.

It is an arithmetic number, because the mean of its divisors is an integer number (2378376).

Almost surely, 2^165705120 is an apocalyptic number.

165705120 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 165705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342486144).

165705120 is an abundant number, since it is smaller than the sum of its proper divisors (519267168).

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

165705120 is a wasteful number, since it uses less digits than its factorization.

165705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 165705120 is about 12872.6500768101. The cubic root of 165705120 is about 549.2608473077.

The spelling of 165705120 in words is "one hundred sixty-five million, seven hundred five thousand, one hundred twenty".