142200124441144 has 512 divisors, whose sum is σ = 360938446848000. Its totient is φ = 50899348684800.

The previous prime is 142200124441103. The next prime is 142200124441147. The reversal of 142200124441144 is 441144421002241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142200124441147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21779767672 + ... + 21779774200.

It is an arithmetic number, because the mean of its divisors is an integer number (704957904000).

Almost surely, 2^{142200124441144} is an apocalyptic number.

142200124441144 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 142200124441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180469223424000).

142200124441144 is an abundant number, since it is smaller than the sum of its proper divisors (218738322406856).

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

142200124441144 is a wasteful number, since it uses less digits than its factorization.

142200124441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

Adding to 142200124441144 its reverse (441144421002241), we get a palindrome (583344545443385).

The spelling of 142200124441144 in words is "one hundred forty-two trillion, two hundred billion, one hundred twenty-four million, four hundred forty-one thousand, one hundred forty-four".