144125424000 has 384 divisors, whose sum is σ = 518794848000. Its totient is φ = 38344089600.

The previous prime is 144125423999. The next prime is 144125424007. The reversal of 144125424000 is 424521441.

144125424000 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 254 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144125424007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81935121 + ... + 81936879.

It is an arithmetic number, because the mean of its divisors is an integer number (1351028250).

Almost surely, 2^144125424000 is an apocalyptic number.

144125424000 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 144125424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259397424000).

144125424000 is an abundant number, since it is smaller than the sum of its proper divisors (374669424000).

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

144125424000 is a wasteful number, since it uses less digits than its factorization.

144125424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 144125424000 its reverse (424521441), we get a palindrome (144549945441).

The spelling of 144125424000 in words is "one hundred forty-four billion, one hundred twenty-five million, four hundred twenty-four thousand".