165217140 has 72 divisors (see below), whose sum is σ = 546725088. Its totient is φ = 40052160.

The previous prime is 165217123. The next prime is 165217181. The reversal of 165217140 is 41712561.

It is a happy number.

165217140 is a `hidden beast` number, since 1 + 652 + 1 + 7 + 1 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39742 + ... + 43701.

It is an arithmetic number, because the mean of its divisors is an integer number (7593404).

Almost surely, 2^165217140 is an apocalyptic number.

165217140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165217140 is an abundant number, since it is smaller than the sum of its proper divisors (381507948).

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

165217140 is a wasteful number, since it uses less digits than its factorization.

165217140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83469 (or 83464 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 165217140 is about 12853.6819627685. The cubic root of 165217140 is about 548.7211499578.

The spelling of 165217140 in words is "one hundred sixty-five million, two hundred seventeen thousand, one hundred forty".