135687168 has 66 divisors (see below), whose sum is σ = 391820364. Its totient is φ = 45225984.

The previous prime is 135687131. The next prime is 135687203. The reversal of 135687168 is 861786531.

135687168 is a `hidden beast` number, since 13 + 568 + 71 + 6 + 8 = 666.

It is a super-2 number, since 2×135687168² = 36822015119720448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1855 + ... + 16577.

Almost surely, 2^135687168 is an apocalyptic number.

135687168 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 135687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195910182).

135687168 is an abundant number, since it is smaller than the sum of its proper divisors (256133196).

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

135687168 is a wasteful number, since it uses less digits than its factorization.

135687168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14749 (or 14728 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 135687168 is about 11648.4835064484. The cubic root of 135687168 is about 513.8617119034.

It can be divided in two parts, 13568 and 7168, that added together give a 4-th power (20736 = 12⁴).

The spelling of 135687168 in words is "one hundred thirty-five million, six hundred eighty-seven thousand, one hundred sixty-eight".