135811611936 has 864 divisors, whose sum is σ = 528496375680. Its totient is φ = 32188907520.

The previous prime is 135811611889. The next prime is 135811611953. The reversal of 135811611936 is 639116118531.

135811611936 is a `hidden beast` number, since 1 + 3 + 581 + 1 + 61 + 1 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135811611891 and 135811611900.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 358341795 + ... + 358342173.

It is an arithmetic number, because the mean of its divisors is an integer number (611685620).

Almost surely, 2^135811611936 is an apocalyptic number.

135811611936 is a gapful number since it is divisible by the number (16) 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 135811611936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264248187840).

135811611936 is an abundant number, since it is smaller than the sum of its proper divisors (392684763744).

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

135811611936 is a wasteful number, since it uses less digits than its factorization.

135811611936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 528 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

It can be divided in two parts, 135811 and 611936, that added together give a palindrome (747747).

The spelling of 135811611936 in words is "one hundred thirty-five billion, eight hundred eleven million, six hundred eleven thousand, nine hundred thirty-six".