135288156168 has 96 divisors (see below), whose sum is σ = 420752685600. Its totient is φ = 38838700800.

The previous prime is 135288156097. The next prime is 135288156173. The reversal of 135288156168 is 861651882531.

135288156168 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 8 + 8 + 15 + 616 + 8 = 666.

It is a super-3 number, since 3×135288156168³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4480173 + ... + 4510268.

It is an arithmetic number, because the mean of its divisors is an integer number (4382840475).

Almost surely, 2^135288156168 is an apocalyptic number.

135288156168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135288156168 is an abundant number, since it is smaller than the sum of its proper divisors (285464529432).

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

135288156168 is a wasteful number, since it uses less digits than its factorization.

135288156168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990483 (or 8990476 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 135288156168 in words is "one hundred thirty-five billion, two hundred eighty-eight million, one hundred fifty-six thousand, one hundred sixty-eight".