144255431124 has 288 divisors, whose sum is σ = 449600126976. Its totient is φ = 38125624320.

The previous prime is 144255431069. The next prime is 144255431189. The reversal of 144255431124 is 421134552441.

144255431124 is a `hidden beast` number, since 1 + 442 + 55 + 43 + 1 + 124 = 666.

It is a super-2 number, since 2×144255431124² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15783484 + ... + 15792620.

It is an arithmetic number, because the mean of its divisors is an integer number (1561111552).

Almost surely, 2^144255431124 is an apocalyptic number.

144255431124 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 144255431124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224800063488).

144255431124 is an abundant number, since it is smaller than the sum of its proper divisors (305344695852).

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

144255431124 is a wasteful number, since it uses less digits than its factorization.

144255431124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9275 (or 9270 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 144255431124 its reverse (421134552441), we get a palindrome (565389983565).

The spelling of 144255431124 in words is "one hundred forty-four billion, two hundred fifty-five million, four hundred thirty-one thousand, one hundred twenty-four".