142908479138304 has 2400 divisors, whose sum is σ = 530530927597440. Its totient is φ = 37860286464000.

The previous prime is 142908479138303. The next prime is 142908479138309. The reversal of 142908479138304 is 403831974809241.

142908479138304 is a `hidden beast` number, since 1 + 4 + 2 + 90 + 84 + 7 + 91 + 383 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (142908479138303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 109845102454 + ... + 109845103754.

Almost surely, 2^{142908479138304} 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 142908479138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265265463798720).

142908479138304 is an abundant number, since it is smaller than the sum of its proper divisors (387622448459136).

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

142908479138304 is a wasteful number, since it uses less digits than its factorization.

142908479138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 142908479138304 in words is "one hundred forty-two trillion, nine hundred eight billion, four hundred seventy-nine million, one hundred thirty-eight thousand, three hundred four".