165155523718128 has 160 divisors (see below), whose sum is σ = 433941318835200. Its totient is φ = 54119343283200.

The previous prime is 165155523718117. The next prime is 165155523718181. The reversal of 165155523718128 is 821817325551561.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782656618 + ... + 3782700278.

It is an arithmetic number, because the mean of its divisors is an integer number (2712133242720).

Almost surely, 2^{165155523718128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165155523718128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216970659417600).

165155523718128 is an abundant number, since it is smaller than the sum of its proper divisors (268785795117072).

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

165155523718128 is a wasteful number, since it uses less digits than its factorization.

165155523718128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49431 (or 49425 counting only the distinct ones).

The product of its digits is 20160000, while the sum is 60.

The spelling of 165155523718128 in words is "one hundred sixty-five trillion, one hundred fifty-five billion, five hundred twenty-three million, seven hundred eighteen thousand, one hundred twenty-eight".