144195979200 has 1344 divisors, whose sum is σ = 628525105152. Its totient is φ = 28101427200.

The previous prime is 144195979181. The next prime is 144195979201. The reversal of 144195979200 is 2979591441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144195979201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311438169 + ... + 311438631.

It is an arithmetic number, because the mean of its divisors is an integer number (467652608).

Almost surely, 2^144195979200 is an apocalyptic number.

144195979200 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 144195979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314262552576).

144195979200 is an abundant number, since it is smaller than the sum of its proper divisors (484329125952).

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

144195979200 is a wasteful number, since it uses less digits than its factorization.

144195979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 144195979200 in words is "one hundred forty-four billion, one hundred ninety-five million, nine hundred seventy-nine thousand, two hundred".