142132242000032 has 96 divisors (see below), whose sum is σ = 284933933746560. Its totient is φ = 69771227581440.

The previous prime is 142132241999981. The next prime is 142132242000043. The reversal of 142132242000032 is 230000242231241.

It is a junction number, because it is equal to n+sod(n) for n = 142132241999965 and 142132242000010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8576124098 + ... + 8576140670.

It is an arithmetic number, because the mean of its divisors is an integer number (2968061809860).

Almost surely, 2^{142132242000032} 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 142132242000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142466966873280).

142132242000032 is an abundant number, since it is smaller than the sum of its proper divisors (142801691746528).

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

142132242000032 is a wasteful number, since it uses less digits than its factorization.

142132242000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22246 (or 22238 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 142132242000032 its reverse (230000242231241), we get a palindrome (372132484231273).

The spelling of 142132242000032 in words is "one hundred forty-two trillion, one hundred thirty-two billion, two hundred forty-two million, thirty-two", and thus it is an aban number.