144010032 has 80 divisors (see below), whose sum is σ = 381701760. Its totient is φ = 46771200.

The previous prime is 144010007. The next prime is 144010033. The reversal of 144010032 is 230010441.

144010032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144009993 and 144010020.

It is not an unprimeable number, because it can be changed into a prime (144010033) 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, 597432 + ... + 597672.

It is an arithmetic number, because the mean of its divisors is an integer number (4771272).

Almost surely, 2^144010032 is an apocalyptic number.

144010032 is a gapful number since it is divisible by the number (12) 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 144010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190850880).

144010032 is an abundant number, since it is smaller than the sum of its proper divisors (237691728).

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

144010032 is a wasteful number, since it uses less digits than its factorization.

144010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 144010032 is about 12000.4179927201. The cubic root of 144010032 is about 524.1604504469.

Adding to 144010032 its reverse (230010441), we get a palindrome (374020473).

The spelling of 144010032 in words is "one hundred forty-four million, ten thousand, thirty-two".