165120192 has 84 divisors (see below), whose sum is σ = 475091760. Its totient is φ = 54830592.

The previous prime is 165120169. The next prime is 165120211. The reversal of 165120192 is 291021561.

165120192 is a `hidden beast` number, since 1 + 651 + 2 + 0 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×165120192² = 54529355612233728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252538 + ... + 253190.

Almost surely, 2^165120192 is an apocalyptic number.

165120192 is a gapful number since it is divisible by the number (12) 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 165120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237545880).

165120192 is an abundant number, since it is smaller than the sum of its proper divisors (309971568).

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

165120192 is a wasteful number, since it uses less digits than its factorization.

165120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 165120192 is about 12849.9101942387. The cubic root of 165120192 is about 548.6138006705.

The spelling of 165120192 in words is "one hundred sixty-five million, one hundred twenty thousand, one hundred ninety-two".