165345504 has 48 divisors (see below), whose sum is σ = 437189760. Its totient is φ = 54714240.

The previous prime is 165345503. The next prime is 165345517. The reversal of 165345504 is 405543561.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165345503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7149 + ... + 19539.

It is an arithmetic number, because the mean of its divisors is an integer number (9108120).

Almost surely, 2^165345504 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 165345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218594880).

165345504 is an abundant number, since it is smaller than the sum of its proper divisors (271844256).

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

165345504 is a wasteful number, since it uses less digits than its factorization.

165345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12543 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 165345504 is about 12858.6742707015. The cubic root of 165345504 is about 548.8632211901.

The spelling of 165345504 in words is "one hundred sixty-five million, three hundred forty-five thousand, five hundred four".