144997992960 has 320 divisors, whose sum is σ = 477281452032. Its totient is φ = 37533597696.

The previous prime is 144997992899. The next prime is 144997992961. The reversal of 144997992960 is 69299799441.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (144997992961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45840339 + ... + 45843501.

Almost surely, 2^144997992960 is an apocalyptic number.

144997992960 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 144997992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238640726016).

144997992960 is an abundant number, since it is smaller than the sum of its proper divisors (332283459072).

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

144997992960 is a wasteful number, since it uses less digits than its factorization.

144997992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 69.

The spelling of 144997992960 in words is "one hundred forty-four billion, nine hundred ninety-seven million, nine hundred ninety-two thousand, nine hundred sixty".