165088154016 has 144 divisors (see below), whose sum is σ = 471288636000. Its totient is φ = 54816652800.

The previous prime is 165088154003. The next prime is 165088154017. The reversal of 165088154016 is 610451880561.

165088154016 is a `hidden beast` number, since 1 + 6 + 508 + 81 + 54 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (165088154017) 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 23 ways as a sum of consecutive naturals, for example, 151040766 + ... + 151041858.

It is an arithmetic number, because the mean of its divisors is an integer number (3272837750).

Almost surely, 2^165088154016 is an apocalyptic number.

165088154016 is a gapful number since it is divisible by the number (16) 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 165088154016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235644318000).

165088154016 is an abundant number, since it is smaller than the sum of its proper divisors (306200481984).

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

165088154016 is a wasteful number, since it uses less digits than its factorization.

165088154016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 165088154016 in words is "one hundred sixty-five billion, eighty-eight million, one hundred fifty-four thousand, sixteen".