142334269632 has 448 divisors, whose sum is σ = 461779315200. Its totient is φ = 42805002240.

The previous prime is 142334269619. The next prime is 142334269667. The reversal of 142334269632 is 236962433241.

142334269632 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 4 + 2 + 6 + 9 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71059543 + ... + 71061545.

It is an arithmetic number, because the mean of its divisors is an integer number (1030757400).

Almost surely, 2^142334269632 is an apocalyptic number.

142334269632 is a gapful number since it is divisible by the number (12) 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 142334269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230889657600).

142334269632 is an abundant number, since it is smaller than the sum of its proper divisors (319445045568).

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

142334269632 is a wasteful number, since it uses less digits than its factorization.

142334269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2125 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 142334269632 in words is "one hundred forty-two billion, three hundred thirty-four million, two hundred sixty-nine thousand, six hundred thirty-two".