165765120 has 224 divisors, whose sum is σ = 566196480. Its totient is φ = 41287680.

The previous prime is 165765109. The next prime is 165765133. The reversal of 165765120 is 21567561.

It is a super-2 number, since 2×165765120² = 54956150017228800, which contains 22 as substring.

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, 2334685 + ... + 2334755.

Almost surely, 2^165765120 is an apocalyptic number.

165765120 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 165765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283098240).

165765120 is an abundant number, since it is smaller than the sum of its proper divisors (400431360).

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

165765120 is an equidigital number, since it uses as much as digits as its factorization.

165765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 165765120 is about 12874.9803883346. The cubic root of 165765120 is about 549.3271330769.

The spelling of 165765120 in words is "one hundred sixty-five million, seven hundred sixty-five thousand, one hundred twenty".