165108240 has 160 divisors (see below), whose sum is σ = 620496000. Its totient is φ = 40020480.

The previous prime is 165108239. The next prime is 165108247. The reversal of 165108240 is 42801561.

165108240 is a `hidden beast` number, since 1 + 651 + 0 + 8 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165108247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20286 + ... + 27234.

It is an arithmetic number, because the mean of its divisors is an integer number (3878100).

Almost surely, 2^165108240 is an apocalyptic number.

165108240 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 165108240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310248000).

165108240 is an abundant number, since it is smaller than the sum of its proper divisors (455387760).

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

165108240 is a wasteful number, since it uses less digits than its factorization.

165108240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 165108240 is about 12849.4451242067. The cubic root of 165108240 is about 548.6005634638.

The spelling of 165108240 in words is "one hundred sixty-five million, one hundred eight thousand, two hundred forty".