135050711040 has 936 divisors, whose sum is σ = 573934851360. Its totient is φ = 29206904832.

The previous prime is 135050711023. The next prime is 135050711051. The reversal of 135050711040 is 40117050531.

135050711040 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 507 + 110 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135050710995 and 135050711013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171601527 + ... + 171602313.

It is an arithmetic number, because the mean of its divisors is an integer number (613178260).

Almost surely, 2^135050711040 is an apocalyptic number.

135050711040 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 135050711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286967425680).

135050711040 is an abundant number, since it is smaller than the sum of its proper divisors (438884140320).

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

135050711040 is a wasteful number, since it uses less digits than its factorization.

135050711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 135050711040 its reverse (40117050531), we get a palindrome (175167761571).

The spelling of 135050711040 in words is "one hundred thirty-five billion, fifty million, seven hundred eleven thousand, forty".