165144080 has 80 divisors (see below), whose sum is σ = 399837504. Its totient is φ = 63383040.

The previous prime is 165144073. The next prime is 165144097. The reversal of 165144080 is 80441561.

165144080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 209447 + ... + 210233.

Almost surely, 2^165144080 is an apocalyptic number.

165144080 is a gapful number since it is divisible by the number (10) 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 165144080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199918752).

165144080 is an abundant number, since it is smaller than the sum of its proper divisors (234693424).

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

165144080 is a wasteful number, since it uses less digits than its factorization.

165144080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 165144080 is about 12850.8396612828. The cubic root of 165144080 is about 548.6402554495.

It can be divided in two parts, 1651 and 44080, that multiplied together give a triangular number (72776080 = T₁₂₀₆₄).

The spelling of 165144080 in words is "one hundred sixty-five million, one hundred forty-four thousand, eighty".