165120231312135 has 48 divisors (see below), whose sum is σ = 322299196397568. Its totient is φ = 77475768350400.

The previous prime is 165120231312133. The next prime is 165120231312161. The reversal of 165120231312135 is 531213132021561.

It is a happy number.

165120231312135 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 202 + 3 + 1 + 312 + 135 = 666.

It is not a de Polignac number, because 165120231312135 - 2¹ = 165120231312133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165120231312135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165120231312131) 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 47 ways as a sum of consecutive naturals, for example, 5380246347 + ... + 5380277036.

It is an arithmetic number, because the mean of its divisors is an integer number (6714566591616).

Almost surely, 2^{165120231312135} is an apocalyptic number.

165120231312135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165120231312135 is a deficient number, since it is larger than the sum of its proper divisors (157178965085433).

165120231312135 is a wasteful number, since it uses less digits than its factorization.

165120231312135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760523436 (or 10760523433 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 165120231312135 its reverse (531213132021561), we get a palindrome (696333363333696).

The spelling of 165120231312135 in words is "one hundred sixty-five trillion, one hundred twenty billion, two hundred thirty-one million, three hundred twelve thousand, one hundred thirty-five".