32000144 has 30 divisors (see below), whose sum is σ = 68153190. Its totient is φ = 14544640.

The previous prime is 32000119. The next prime is 32000147. The reversal of 32000144 is 44100023.

It can be written as a sum of positive squares in only one way, i.e., 31225744 + 774400 = 5588^2 + 880^2 .

32000144 is a modest number, since divided by 144 gives 32 as remainder.

It is not an unprimeable number, because it can be changed into a prime (32000147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6329 + ... + 10200.

It is an arithmetic number, because the mean of its divisors is an integer number (2271773).

Almost surely, 2^32000144 is an apocalyptic number.

It is an amenable number.

32000144 is an abundant number, since it is smaller than the sum of its proper divisors (36153046).

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

32000144 is a wasteful number, since it uses less digits than its factorization.

32000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16559 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 32000144 is about 5656.8669774001. The cubic root of 32000144 is about 317.4806866132.

Adding to 32000144 its reverse (44100023), we get a palindrome (76100167).

The spelling of 32000144 in words is "thirty-two million, one hundred forty-four", and thus it is an aban number.