165120735582 has 48 divisors (see below), whose sum is σ = 413243346672. Its totient is φ = 47093256960.

The previous prime is 165120735557. The next prime is 165120735583. The reversal of 165120735582 is 285537021561.

165120735582 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 20 + 73 + 558 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165120735583) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24524373 + ... + 24531104.

It is an arithmetic number, because the mean of its divisors is an integer number (8609236389).

Almost surely, 2^165120735582 is an apocalyptic number.

165120735582 is an abundant number, since it is smaller than the sum of its proper divisors (248122611090).

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

165120735582 is a wasteful number, since it uses less digits than its factorization.

165120735582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49055513 (or 49055510 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 165120735582 in words is "one hundred sixty-five billion, one hundred twenty million, seven hundred thirty-five thousand, five hundred eighty-two".