282758136138 has 192 divisors, whose sum is σ = 675803381760. Its totient is φ = 85165344000.

The previous prime is 282758136091. The next prime is 282758136181. The reversal of 282758136138 is 831631857282.

282758136138 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 5 + 8 + 13 + 613 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114336870 + ... + 114339342.

It is an arithmetic number, because the mean of its divisors is an integer number (3519809280).

Almost surely, 2^282758136138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282758136138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337901690880).

282758136138 is an abundant number, since it is smaller than the sum of its proper divisors (393045245622).

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

282758136138 is a wasteful number, since it uses less digits than its factorization.

282758136138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2742 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 282758136138 in words is "two hundred eighty-two billion, seven hundred fifty-eight million, one hundred thirty-six thousand, one hundred thirty-eight".