144009576 has 64 divisors (see below), whose sum is σ = 405014400. Its totient is φ = 47997360.

The previous prime is 144009559. The next prime is 144009577. The reversal of 144009576 is 675900441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144009576.

It is not an unprimeable number, because it can be changed into a prime (144009577) 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, 13381 + ... + 21611.

It is an arithmetic number, because the mean of its divisors is an integer number (6328350).

Almost surely, 2^144009576 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 144009576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202507200).

144009576 is an abundant number, since it is smaller than the sum of its proper divisors (261004824).

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

144009576 is an frugal number, since it uses more digits than its factorization.

144009576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 144009576 is about 12000.3989933668. The cubic root of 144009576 is about 524.1598972044.

The spelling of 144009576 in words is "one hundred forty-four million, nine thousand, five hundred seventy-six".