165153312 has 72 divisors (see below), whose sum is σ = 474053580. Its totient is φ = 54535680.

The previous prime is 165153257. The next prime is 165153341. The reversal of 165153312 is 213351561.

165153312 is a `hidden beast` number, since 1 + 651 + 5 + 3 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156650256 + 8503056 = 12516^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28762 + ... + 34022.

Almost surely, 2^165153312 is an apocalyptic number.

165153312 is a gapful number since it is divisible by the number (12) 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 165153312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237026790).

165153312 is an abundant number, since it is smaller than the sum of its proper divisors (308900268).

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

165153312 is a wasteful number, since it uses less digits than its factorization.

165153312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5375 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 165153312 is about 12851.1988545816. The cubic root of 165153312 is about 548.6504787495.

The spelling of 165153312 in words is "one hundred sixty-five million, one hundred fifty-three thousand, three hundred twelve".