144124032 has 64 divisors (see below), whose sum is σ = 412292160. Its totient is φ = 44344320.

The previous prime is 144124031. The next prime is 144124039. The reversal of 144124032 is 230421441.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (144124031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9444 + ... + 19427.

It is an arithmetic number, because the mean of its divisors is an integer number (6442065).

Almost surely, 2^144124032 is an apocalyptic number.

144124032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144124032 is an abundant number, since it is smaller than the sum of its proper divisors (268168128).

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

144124032 is a wasteful number, since it uses less digits than its factorization.

144124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28901 (or 28889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144124032 is about 12005.1668876363. The cubic root of 144124032 is about 524.2987244502.

Adding to 144124032 its reverse (230421441), we get a palindrome (374545473).

The spelling of 144124032 in words is "one hundred forty-four million, one hundred twenty-four thousand, thirty-two".