142134224100 has 144 divisors (see below), whose sum is σ = 448816648896. Its totient is φ = 34442240000.

The previous prime is 142134224093. The next prime is 142134224107. The reversal of 142134224100 is 1422431241.

It is an interprime number because it is at equal distance from previous prime (142134224093) and next prime (142134224107).

It is not an unprimeable number, because it can be changed into a prime (142134224107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9235612 + ... + 9250988.

It is an arithmetic number, because the mean of its divisors is an integer number (3116782284).

Almost surely, 2^142134224100 is an apocalyptic number.

142134224100 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 142134224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224408324448).

142134224100 is an abundant number, since it is smaller than the sum of its proper divisors (306682424796).

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

142134224100 is a wasteful number, since it uses less digits than its factorization.

142134224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18206 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 142134224100 its reverse (1422431241), we get a palindrome (143556655341).

The spelling of 142134224100 in words is "one hundred forty-two billion, one hundred thirty-four million, two hundred twenty-four thousand, one hundred".