135815313816 has 512 divisors, whose sum is σ = 478769356800. Its totient is φ = 34720358400.

The previous prime is 135815313811. The next prime is 135815313833. The reversal of 135815313816 is 618313518531.

135815313816 is a `hidden beast` number, since 1 + 3 + 5 + 81 + 531 + 38 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135815313811) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104392366 + ... + 104393666.

It is an arithmetic number, because the mean of its divisors is an integer number (935096400).

Almost surely, 2^135815313816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135815313816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239384678400).

135815313816 is an abundant number, since it is smaller than the sum of its proper divisors (342954042984).

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

135815313816 is a wasteful number, since it uses less digits than its factorization.

135815313816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 135815313816 in words is "one hundred thirty-five billion, eight hundred fifteen million, three hundred thirteen thousand, eight hundred sixteen".