135085091688 has 512 divisors, whose sum is σ = 430230528000. Its totient is φ = 39031787520.

The previous prime is 135085091681. The next prime is 135085091707. The reversal of 135085091688 is 886190580531.

135085091688 is a `hidden beast` number, since 1 + 3 + 50 + 8 + 509 + 1 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135085091681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434357053 + ... + 434357363.

It is an arithmetic number, because the mean of its divisors is an integer number (840294000).

Almost surely, 2^135085091688 is an apocalyptic number.

135085091688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135085091688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264000).

135085091688 is an abundant number, since it is smaller than the sum of its proper divisors (295145436312).

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

135085091688 is a wasteful number, since it uses less digits than its factorization.

135085091688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 135085091688 in words is "one hundred thirty-five billion, eighty-five million, ninety-one thousand, six hundred eighty-eight".