135511404240 has 160 divisors (see below), whose sum is σ = 421882033536. Its totient is φ = 35982213120.

The previous prime is 135511404227. The next prime is 135511404263. The reversal of 135511404240 is 42404115531.

135511404240 is digitally balanced in base 3, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 135511404198 and 135511404207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67992684 + ... + 67994676.

Almost surely, 2^135511404240 is an apocalyptic number.

135511404240 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 135511404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210941016768).

135511404240 is an abundant number, since it is smaller than the sum of its proper divisors (286370629296).

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

135511404240 is a wasteful number, since it uses less digits than its factorization.

135511404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 135511404240 its reverse (42404115531), we get a palindrome (177915519771).

The spelling of 135511404240 in words is "one hundred thirty-five billion, five hundred eleven million, four hundred four thousand, two hundred forty".