144925200000 has 1344 divisors, whose sum is σ = 627068615040. Its totient is φ = 32659200000.

The previous prime is 144925199999. The next prime is 144925200041. The reversal of 144925200000 is 2529441.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2041199965 + ... + 2041200035.

It is an arithmetic number, because the mean of its divisors is an integer number (466568910).

Almost surely, 2^144925200000 is an apocalyptic number.

144925200000 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 144925200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313534307520).

144925200000 is an abundant number, since it is smaller than the sum of its proper divisors (482143415040).

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

144925200000 is an frugal number, since it uses more digits than its factorization.

144925200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 144925200000 its reverse (2529441), we get a palindrome (144927729441).

The spelling of 144925200000 in words is "one hundred forty-four billion, nine hundred twenty-five million, two hundred thousand".