135633438 has 96 divisors (see below), whose sum is σ = 331119360. Its totient is φ = 39916800.

The previous prime is 135633437. The next prime is 135633467. The reversal of 135633438 is 834336531.

135633438 is a `hidden beast` number, since 13 + 5 + 633 + 4 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135633437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338038 + ... + 338438.

It is an arithmetic number, because the mean of its divisors is an integer number (3449160).

Almost surely, 2^135633438 is an apocalyptic number.

135633438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135633438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165559680).

135633438 is an abundant number, since it is smaller than the sum of its proper divisors (195485922).

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

135633438 is a wasteful number, since it uses less digits than its factorization.

135633438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 491 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 135633438 is about 11646.1769692891. The cubic root of 135633438 is about 513.7938758770.

Adding to 135633438 its reverse (834336531), we get a palindrome (969969969).

The spelling of 135633438 in words is "one hundred thirty-five million, six hundred thirty-three thousand, four hundred thirty-eight".