142300113144000 has 448 divisors, whose sum is σ = 537089892218880. Its totient is φ = 32520293683200.

The previous prime is 142300113143999. The next prime is 142300113144001. The reversal of 142300113144000 is 441311003241.

It is an interprime number because it is at equal distance from previous prime (142300113143999) and next prime (142300113144001).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142300113144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1049428206 + ... + 1049563794.

It is an arithmetic number, because the mean of its divisors is an integer number (1198861366560).

Almost surely, 2^{142300113144000} is an apocalyptic number.

142300113144000 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 142300113144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268544946109440).

142300113144000 is an abundant number, since it is smaller than the sum of its proper divisors (394789779074880).

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

142300113144000 is a wasteful number, since it uses less digits than its factorization.

142300113144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141873 (or 141853 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 142300113144000 its reverse (441311003241), we get a palindrome (142741424147241).

The spelling of 142300113144000 in words is "one hundred forty-two trillion, three hundred billion, one hundred thirteen million, one hundred forty-four thousand".