142329796128 has 144 divisors (see below), whose sum is σ = 436027167576. Its totient is φ = 43779502080.

The previous prime is 142329796117. The next prime is 142329796151. The reversal of 142329796128 is 821697923241.

142329796128 is a `hidden beast` number, since 1 + 423 + 2 + 9 + 7 + 96 + 128 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137750837904 + 4578958224 = 371148^2 + 67668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20801988 + ... + 20808828.

Almost surely, 2^142329796128 is an apocalyptic number.

142329796128 is a gapful number since it is divisible by the number (18) 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 142329796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218013583788).

142329796128 is an abundant number, since it is smaller than the sum of its proper divisors (293697371448).

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

142329796128 is a wasteful number, since it uses less digits than its factorization.

142329796128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12427 (or 12416 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 142329796128 in words is "one hundred forty-two billion, three hundred twenty-nine million, seven hundred ninety-six thousand, one hundred twenty-eight".