135169527168 has 1024 divisors, whose sum is σ = 473703014400. Its totient is φ = 37623398400.

The previous prime is 135169527151. The next prime is 135169527193. The reversal of 135169527168 is 861725961531.

135169527168 is a `hidden beast` number, since 1 + 3 + 51 + 6 + 9 + 527 + 1 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2215893858 + ... + 2215893918.

It is an arithmetic number, because the mean of its divisors is an integer number (462600600).

Almost surely, 2^135169527168 is an apocalyptic number.

135169527168 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 135169527168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236851507200).

135169527168 is an abundant number, since it is smaller than the sum of its proper divisors (338533487232).

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

135169527168 is a wasteful number, since it uses less digits than its factorization.

135169527168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 135169527168 in words is "one hundred thirty-five billion, one hundred sixty-nine million, five hundred twenty-seven thousand, one hundred sixty-eight".