144937985280 has 864 divisors, whose sum is σ = 555178917888. Its totient is φ = 31919308800.

The previous prime is 144937985233. The next prime is 144937985293. The reversal of 144937985280 is 82589739441.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 378427969 + ... + 378428351.

It is an arithmetic number, because the mean of its divisors is an integer number (642568192).

Almost surely, 2^144937985280 is an apocalyptic number.

144937985280 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 144937985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277589458944).

144937985280 is an abundant number, since it is smaller than the sum of its proper divisors (410240932608).

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

144937985280 is a wasteful number, since it uses less digits than its factorization.

144937985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 144937985280 in words is "one hundred forty-four billion, nine hundred thirty-seven million, nine hundred eighty-five thousand, two hundred eighty".