259135128 has 120 divisors (see below), whose sum is σ = 819292500. Its totient is φ = 73989216.

The previous prime is 259135127. The next prime is 259135141. The reversal of 259135128 is 821531952.

259135128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 259135092 and 259135101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259135127) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 172123 + ... + 173621.

Almost surely, 2^259135128 is an apocalyptic number.

259135128 is a gapful number since it is divisible by the number (28) 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 259135128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409646250).

259135128 is an abundant number, since it is smaller than the sum of its proper divisors (560157372).

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

259135128 is a wasteful number, since it uses less digits than its factorization.

259135128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1511 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 259135128 is about 16097.6746146765. The cubic root of 259135128 is about 637.5419451063.

The spelling of 259135128 in words is "two hundred fifty-nine million, one hundred thirty-five thousand, one hundred twenty-eight".