144270605920 has 576 divisors, whose sum is σ = 437842298880. Its totient is φ = 44633960448.

The previous prime is 144270605917. The next prime is 144270605929. The reversal of 144270605920 is 29506072441.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144270605929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245775867 + ... + 245776453.

It is an arithmetic number, because the mean of its divisors is an integer number (760142880).

Almost surely, 2^144270605920 is an apocalyptic number.

144270605920 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 144270605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218921149440).

144270605920 is an abundant number, since it is smaller than the sum of its proper divisors (293571692960).

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

144270605920 is a wasteful number, since it uses less digits than its factorization.

144270605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 144270605920 in words is "one hundred forty-four billion, two hundred seventy million, six hundred five thousand, nine hundred twenty".