144105374784 has 224 divisors, whose sum is σ = 470798956800. Its totient is φ = 38750724096.

The previous prime is 144105374747. The next prime is 144105374807. The reversal of 144105374784 is 487473501441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 1055194 + ... + 1183910.

Almost surely, 2^144105374784 is an apocalyptic number.

144105374784 is a gapful number since it is divisible by the number (14) 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 144105374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235399478400).

144105374784 is an abundant number, since it is smaller than the sum of its proper divisors (326693582016).

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

144105374784 is a wasteful number, since it uses less digits than its factorization.

144105374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128770 (or 128746 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 144105374784 in words is "one hundred forty-four billion, one hundred five million, three hundred seventy-four thousand, seven hundred eighty-four".