135523040 has 96 divisors (see below), whose sum is σ = 333650016. Its totient is φ = 51978240.

The previous prime is 135523019. The next prime is 135523051. The reversal of 135523040 is 40325531.

It is a junction number, because it is equal to n+sod(n) for n = 135522997 and 135523015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478739 + ... + 479021.

It is an arithmetic number, because the mean of its divisors is an integer number (3475521).

Almost surely, 2^135523040 is an apocalyptic number.

135523040 is a gapful number since it is divisible by the number (10) 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 135523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166825008).

135523040 is an abundant number, since it is smaller than the sum of its proper divisors (198126976).

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

135523040 is a wasteful number, since it uses less digits than its factorization.

135523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 135523040 is about 11641.4363374972. The cubic root of 135523040 is about 513.6544382536.

Adding to 135523040 its reverse (40325531), we get a palindrome (175848571).

The spelling of 135523040 in words is "one hundred thirty-five million, five hundred twenty-three thousand, forty".