135718128 has 120 divisors (see below), whose sum is σ = 467518688. Its totient is φ = 35790336.

The previous prime is 135718127. The next prime is 135718171. The reversal of 135718128 is 821817531.

135718128 is a `hidden beast` number, since 1 + 3 + 571 + 81 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135718092 and 135718101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135718127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7926 + ... + 18282.

Almost surely, 2^135718128 is an apocalyptic number.

135718128 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 135718128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233759344).

135718128 is an abundant number, since it is smaller than the sum of its proper divisors (331800560).

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

135718128 is a wasteful number, since it uses less digits than its factorization.

135718128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10382 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 135718128 is about 11649.8123590039. The cubic root of 135718128 is about 513.9007918669.

The spelling of 135718128 in words is "one hundred thirty-five million, seven hundred eighteen thousand, one hundred twenty-eight".