144133022000 has 240 divisors, whose sum is σ = 384101582592. Its totient is φ = 52272000000.

The previous prime is 144133021913. The next prime is 144133022009. The reversal of 144133022000 is 220331441.

144133022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144133022009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145441505 + ... + 145442495.

Almost surely, 2^144133022000 is an apocalyptic number.

144133022000 is a gapful number since it is divisible by the number (10) 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 144133022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192050791296).

144133022000 is an abundant number, since it is smaller than the sum of its proper divisors (239968560592).

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

144133022000 is a wasteful number, since it uses less digits than its factorization.

144133022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 144133022000 its reverse (220331441), we get a palindrome (144353353441).

The spelling of 144133022000 in words is "one hundred forty-four billion, one hundred thirty-three million, twenty-two thousand".