135317459520 has 280 divisors, whose sum is σ = 509664257784. Its totient is φ = 33961918464.

The previous prime is 135317459491. The next prime is 135317459539. The reversal of 135317459520 is 25954713531.

135317459520 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 1 + 74 + 59 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3426463296 + 131890996224 = 58536^2 + 363168^2 .

It is a super-3 number, since 3×135317459520³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287094 + ... + 594186.

Almost surely, 2^135317459520 is an apocalyptic number.

135317459520 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 135317459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254832128892).

135317459520 is an abundant number, since it is smaller than the sum of its proper divisors (374346798264).

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

135317459520 is a wasteful number, since it uses less digits than its factorization.

135317459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307139 (or 307120 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 135317459520 in words is "one hundred thirty-five billion, three hundred seventeen million, four hundred fifty-nine thousand, five hundred twenty".