135438688 has 144 divisors (see below), whose sum is σ = 353928960. Its totient is φ = 49800960.

The previous prime is 135438679. The next prime is 135438701. The reversal of 135438688 is 886834531.

It is a super-2 number, since 2×135438688² = 36687276414322688, which contains 22 as substring.

It is a congruent number.

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, 514845 + ... + 515107.

It is an arithmetic number, because the mean of its divisors is an integer number (2457840).

Almost surely, 2^135438688 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 135438688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176964480).

135438688 is an abundant number, since it is smaller than the sum of its proper divisors (218490272).

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

135438688 is a wasteful number, since it uses less digits than its factorization.

135438688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The square root of 135438688 is about 11637.8128529376. The cubic root of 135438688 is about 513.5478468538.

The spelling of 135438688 in words is "one hundred thirty-five million, four hundred thirty-eight thousand, six hundred eighty-eight".