32133042144 has 480 divisors, whose sum is σ = 112691113920. Its totient is φ = 8788082688.

The previous prime is 32133042127. The next prime is 32133042199. The reversal of 32133042144 is 44124033123.

32133042144 is a `hidden beast` number, since 3 + 213 + 304 + 2 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91028272 + ... + 91028624.

It is an arithmetic number, because the mean of its divisors is an integer number (234773154).

Almost surely, 2^32133042144 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 32133042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56345556960).

32133042144 is an abundant number, since it is smaller than the sum of its proper divisors (80558071776).

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

32133042144 is a wasteful number, since it uses less digits than its factorization.

32133042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32133042144 its reverse (44124033123), we get a palindrome (76257075267).

The spelling of 32133042144 in words is "thirty-two billion, one hundred thirty-three million, forty-two thousand, one hundred forty-four".