144504138768 has 320 divisors, whose sum is σ = 429329092608. Its totient is φ = 41486376960.

The previous prime is 144504138767. The next prime is 144504138787. The reversal of 144504138768 is 867831405441.

It is a Cunningham number, because it is equal to 380137²-1.

It is a super-2 number, since 2×144504138768² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144504138768.

It is not an unprimeable number, because it can be changed into a prime (144504138767) 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, 309430471 + ... + 309430937.

Almost surely, 2^144504138768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144504138768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214664546304).

144504138768 is an abundant number, since it is smaller than the sum of its proper divisors (284824953840).

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

144504138768 is a wasteful number, since it uses less digits than its factorization.

With its successor (144504138769) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (910).

144504138768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 144504138768 in words is "one hundred forty-four billion, five hundred four million, one hundred thirty-eight thousand, seven hundred sixty-eight".