165582144 has 336 divisors, whose sum is σ = 609843840. Its totient is φ = 43670016.

The previous prime is 165582119. The next prime is 165582167. The reversal of 165582144 is 441285561.

It is a happy number.

165582144 is a `hidden beast` number, since 1 + 65 + 582 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (38400) is a multiple of the sum of its prime divisors (25).

It is a junction number, because it is equal to n+sod(n) for n = 165582099 and 165582108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12737082 + ... + 12737094.

Almost surely, 2^165582144 is an apocalyptic number.

165582144 is a gapful number since it is divisible by the number (14) 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 165582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304921920).

165582144 is an abundant number, since it is smaller than the sum of its proper divisors (444261696).

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

165582144 is an frugal number, since it uses more digits than its factorization.

165582144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 165582144 is about 12867.8725514360. The cubic root of 165582144 is about 549.1249379721.

The spelling of 165582144 in words is "one hundred sixty-five million, five hundred eighty-two thousand, one hundred forty-four".