144275281920 has 1344 divisors, whose sum is σ = 649676401920. Its totient is φ = 29859840000.

The previous prime is 144275281907. The next prime is 144275281957. The reversal of 144275281920 is 29182572441.

144275281920 is a `hidden beast` number, since 14 + 4 + 27 + 528 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 574801795 + ... + 574802045.

It is an arithmetic number, because the mean of its divisors is an integer number (483390180).

Almost surely, 2^144275281920 is an apocalyptic number.

144275281920 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 144275281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324838200960).

144275281920 is an abundant number, since it is smaller than the sum of its proper divisors (505401120000).

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

144275281920 is an equidigital number, since it uses as much as digits as its factorization.

144275281920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 144275281920 in words is "one hundred forty-four billion, two hundred seventy-five million, two hundred eighty-one thousand, nine hundred twenty".