135085668 has 96 divisors (see below), whose sum is σ = 347289600. Its totient is φ = 40715136.

The previous prime is 135085667. The next prime is 135085669. The reversal of 135085668 is 866580531.

It is an interprime number because it is at equal distance from previous prime (135085667) and next prime (135085669).

It is not an unprimeable number, because it can be changed into a prime (135085667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565093 + ... + 565331.

It is an arithmetic number, because the mean of its divisors is an integer number (3617600).

Almost surely, 2^135085668 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 135085668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173644800).

135085668 is an abundant number, since it is smaller than the sum of its proper divisors (212203932).

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

135085668 is a wasteful number, since it uses less digits than its factorization.

135085668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 135085668 is about 11622.6360177027. The cubic root of 135085668 is about 513.1012723318.

The spelling of 135085668 in words is "one hundred thirty-five million, eighty-five thousand, six hundred sixty-eight".