165265056 has 96 divisors (see below), whose sum is σ = 525873600. Its totient is φ = 50077440.

The previous prime is 165265049. The next prime is 165265063. The reversal of 165265056 is 650562561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165265049) and next prime (165265063).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 165265056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810 + ... + 18198.

It is an arithmetic number, because the mean of its divisors is an integer number (5477850).

Almost surely, 2^165265056 is an apocalyptic number.

165265056 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 165265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262936800).

165265056 is an abundant number, since it is smaller than the sum of its proper divisors (360608544).

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

165265056 is a wasteful number, since it uses less digits than its factorization.

165265056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17419 (or 17405 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 165265056 is about 12855.5457293730. The cubic root of 165265056 is about 548.7741912288.

The spelling of 165265056 in words is "one hundred sixty-five million, two hundred sixty-five thousand, fifty-six".