142024300320032 has 192 divisors, whose sum is σ = 318679100409600. Its totient is φ = 61844036136960.

The previous prime is 142024300320029. The next prime is 142024300320053. The reversal of 142024300320032 is 230023003420241.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 142024300319983 and 142024300320010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118269182 + ... + 119464002.

It is an arithmetic number, because the mean of its divisors is an integer number (1659786981300).

Almost surely, 2^{142024300320032} 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 142024300320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159339550204800).

142024300320032 is an abundant number, since it is smaller than the sum of its proper divisors (176654800089568).

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

142024300320032 is a wasteful number, since it uses less digits than its factorization.

142024300320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195099 (or 1195091 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 142024300320032 its reverse (230023003420241), we get a palindrome (372047303740273).

The spelling of 142024300320032 in words is "one hundred forty-two trillion, twenty-four billion, three hundred million, three hundred twenty thousand, thirty-two".