165540288 has 112 divisors (see below), whose sum is σ = 475451424. Its totient is φ = 50626560.

The previous prime is 165540283. The next prime is 165540299. The reversal of 165540288 is 882045561.

It is a super-2 number, since 2×165540288² = 54807173902245888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165540281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133206 + ... + 134442.

It is an arithmetic number, because the mean of its divisors is an integer number (4245102).

Almost surely, 2^165540288 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 165540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237725712).

165540288 is an abundant number, since it is smaller than the sum of its proper divisors (309911136).

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

165540288 is a wasteful number, since it uses less digits than its factorization.

165540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 165540288 is about 12866.2460725730. The cubic root of 165540288 is about 549.0786646446.

The spelling of 165540288 in words is "one hundred sixty-five million, five hundred forty thousand, two hundred eighty-eight".