165064144 has 60 divisors (see below), whose sum is σ = 374483844. Its totient is φ = 70275072.

The previous prime is 165064129. The next prime is 165064147. The reversal of 165064144 is 441460561.

It can be written as a sum of positive squares in 2 ways, for example, as 107910544 + 57153600 = 10388^2 + 7560^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165064147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135024 + ... + 136240.

Almost surely, 2^165064144 is an apocalyptic number.

165064144 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 165064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187241922).

165064144 is an abundant number, since it is smaller than the sum of its proper divisors (209419700).

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

165064144 is a wasteful number, since it uses less digits than its factorization.

165064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 165064144 is about 12847.7291378671. The cubic root of 165064144 is about 548.5517202638.

The spelling of 165064144 in words is "one hundred sixty-five million, sixty-four thousand, one hundred forty-four".