144174521920 has 448 divisors, whose sum is σ = 411924764160. Its totient is φ = 47659622400.

The previous prime is 144174521917. The next prime is 144174521921. The reversal of 144174521920 is 29125471441.

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

It is not an unprimeable number, because it can be changed into a prime (144174521921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796544230 + ... + 796544410.

It is an arithmetic number, because the mean of its divisors is an integer number (919474920).

Almost surely, 2^144174521920 is an apocalyptic number.

144174521920 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 144174521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205962382080).

144174521920 is an abundant number, since it is smaller than the sum of its proper divisors (267750242240).

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

144174521920 is a wasteful number, since it uses less digits than its factorization.

144174521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 144174521920 in words is "one hundred forty-four billion, one hundred seventy-four million, five hundred twenty-one thousand, nine hundred twenty".