135534404040 has 128 divisors (see below), whose sum is σ = 466343896320. Its totient is φ = 30868992000.

The previous prime is 135534404039. The next prime is 135534404069. The reversal of 135534404040 is 40404435531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135534403992 and 135534404010.

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, 51061 + ... + 523140.

It is an arithmetic number, because the mean of its divisors is an integer number (3643311690).

Almost surely, 2^135534404040 is an apocalyptic number.

135534404040 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 135534404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233171948160).

135534404040 is an abundant number, since it is smaller than the sum of its proper divisors (330809492280).

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

135534404040 is a wasteful number, since it uses less digits than its factorization.

135534404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574503 (or 574499 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 135534404040 its reverse (40404435531), we get a palindrome (175938839571).

The spelling of 135534404040 in words is "one hundred thirty-five billion, five hundred thirty-four million, four hundred four thousand, forty".