142138482336 has 72 divisors (see below), whose sum is σ = 404569092564. Its totient is φ = 47336970240.

The previous prime is 142138482331. The next prime is 142138482337. The reversal of 142138482336 is 633284831241.

142138482336 is a `hidden beast` number, since 1 + 4 + 2 + 138 + 482 + 3 + 36 = 666.

142138482336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142113920400 + 24561936 = 376980^2 + 4956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 142138482291 and 142138482300.

It is not an unprimeable number, because it can be changed into a prime (142138482331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100776 + ... + 542616.

Almost surely, 2^142138482336 is an apocalyptic number.

142138482336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142138482336 is an abundant number, since it is smaller than the sum of its proper divisors (262430610228).

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

142138482336 is a wasteful number, since it uses less digits than its factorization.

142138482336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442974 (or 442963 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 142138482336 in words is "one hundred forty-two billion, one hundred thirty-eight million, four hundred eighty-two thousand, three hundred thirty-six".