165225088 has 64 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 69626880.

The previous prime is 165225079. The next prime is 165225089. The reversal of 165225088 is 880522561.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165225089) 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, 53145 + ... + 56167.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2^165225088 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 165225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

165225088 is an abundant number, since it is smaller than the sum of its proper divisors (217250432).

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

165225088 is an equidigital number, since it uses as much as digits as its factorization.

165225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 165225088 is about 12853.9911311623. The cubic root of 165225088 is about 548.7299488144.

The spelling of 165225088 in words is "one hundred sixty-five million, two hundred twenty-five thousand, eighty-eight".