165506120 has 32 divisors (see below), whose sum is σ = 401035320. Its totient is φ = 61109760.

The previous prime is 165506119. The next prime is 165506141. The reversal of 165506120 is 21605561.

165506120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119727364 + 45778756 = 10942^2 + 6766^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 165506120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158621 + ... + 159660.

Almost surely, 2^165506120 is an apocalyptic number.

165506120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165506120 is an abundant number, since it is smaller than the sum of its proper divisors (235529200).

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

165506120 is a wasteful number, since it uses less digits than its factorization.

165506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318305 (or 318301 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 165506120 is about 12864.9181886244. The cubic root of 165506120 is about 549.0408848974.

The spelling of 165506120 in words is "one hundred sixty-five million, five hundred six thousand, one hundred twenty".