144220124160 has 1320 divisors, whose sum is σ = 618036528384. Its totient is φ = 32049561600.

The previous prime is 144220124159. The next prime is 144220124161. The reversal of 144220124160 is 61421022441.

144220124160 is a `hidden beast` number, since 1 + 4 + 42 + 201 + 2 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144220124159) and next prime (144220124161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144220124161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 955100085 + ... + 955100235.

Almost surely, 2^144220124160 is an apocalyptic number.

144220124160 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 144220124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309018264192).

144220124160 is an abundant number, since it is smaller than the sum of its proper divisors (473816404224).

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

144220124160 is a wasteful number, since it uses less digits than its factorization.

144220124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 144220124160 in words is "one hundred forty-four billion, two hundred twenty million, one hundred twenty-four thousand, one hundred sixty".