165185640 has 48 divisors (see below), whose sum is σ = 536854500. Its totient is φ = 44049408.

The previous prime is 165185627. The next prime is 165185659. The reversal of 165185640 is 46581561.

165185640 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 8 + 5 + 640 = 666.

165185640 is digitally balanced in base 3, 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 2 ways, for example, as 137874564 + 27311076 = 11742^2 + 5226^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 165185595 and 165185604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229065 + ... + 229784.

Almost surely, 2^165185640 is an apocalyptic number.

165185640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165185640 is an abundant number, since it is smaller than the sum of its proper divisors (371668860).

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

165185640 is a wasteful number, since it uses less digits than its factorization.

165185640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458866 (or 458859 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 165185640 is about 12852.4565745230. The cubic root of 165185640 is about 548.6862750152.

The spelling of 165185640 in words is "one hundred sixty-five million, one hundred eighty-five thousand, six hundred forty".