135696080520 has 1024 divisors, whose sum is σ = 627056640000. Its totient is φ = 25181798400.

The previous prime is 135696080491. The next prime is 135696080521. The reversal of 135696080520 is 25080696531.

135696080520 is a `hidden beast` number, since 1 + 3 + 5 + 69 + 60 + 8 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135696080521) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33511456 + ... + 33515504.

It is an arithmetic number, because the mean of its divisors is an integer number (612360000).

Almost surely, 2^135696080520 is an apocalyptic number.

135696080520 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 135696080520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320000).

135696080520 is an abundant number, since it is smaller than the sum of its proper divisors (491360559480).

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

135696080520 is a wasteful number, since it uses less digits than its factorization.

135696080520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 135696080520 in words is "one hundred thirty-five billion, six hundred ninety-six million, eighty thousand, five hundred twenty".