135111435840 has 336 divisors, whose sum is σ = 495393116400. Its totient is φ = 33680916480.

The previous prime is 135111435779. The next prime is 135111435863. The reversal of 135111435840 is 48534111531.

135111435840 is a `hidden beast` number, since 1 + 35 + 1 + 1 + 1 + 43 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6132769344 + 128978666496 = 78312^2 + 359136^2 .

It is a super-3 number, since 3×135111435840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135111435795 and 135111435804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7285780 + ... + 7304300.

It is an arithmetic number, because the mean of its divisors is an integer number (1474384275).

Almost surely, 2^135111435840 is an apocalyptic number.

135111435840 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 135111435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247696558200).

135111435840 is an abundant number, since it is smaller than the sum of its proper divisors (360281680560).

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

135111435840 is a wasteful number, since it uses less digits than its factorization.

135111435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18710 (or 18697 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 135111435840 in words is "one hundred thirty-five billion, one hundred eleven million, four hundred thirty-five thousand, eight hundred forty".