285867685090134 has 192 divisors, whose sum is σ = 750740271869952. Its totient is φ = 76885069363200.

The previous prime is 285867685090051. The next prime is 285867685090147. The reversal of 285867685090134 is 431090586768582.

285867685090134 is a `hidden beast` number, since 2 + 8 + 5 + 86 + 7 + 6 + 8 + 509 + 0 + 1 + 34 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51320769 + ... + 56617635.

It is an arithmetic number, because the mean of its divisors is an integer number (3910105582656).

It is a 1-persistent number, because it is pandigital, but 2⋅285867685090134 = 571735370180268 is not.

Almost surely, 2^{285867685090134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285867685090134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375370135934976).

285867685090134 is an abundant number, since it is smaller than the sum of its proper divisors (464872586779818).

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

285867685090134 is a wasteful number, since it uses less digits than its factorization.

285867685090134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297291 (or 5297288 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 285867685090134 in words is "two hundred eighty-five trillion, eight hundred sixty-seven billion, six hundred eighty-five million, ninety thousand, one hundred thirty-four".