144805920000 has 720 divisors, whose sum is σ = 559059443712. Its totient is φ = 32578560000.

The previous prime is 144805919977. The next prime is 144805920019. The reversal of 144805920000 is 29508441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238559697 + ... + 238560303.

Almost surely, 2^144805920000 is an apocalyptic number.

144805920000 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 144805920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279529721856).

144805920000 is an abundant number, since it is smaller than the sum of its proper divisors (414253523712).

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

144805920000 is an frugal number, since it uses more digits than its factorization.

144805920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 144805920000 in words is "one hundred forty-four billion, eight hundred five million, nine hundred twenty thousand".