135317760 has 144 divisors (see below), whose sum is σ = 437088960. Its totient is φ = 35676160.

The previous prime is 135317731. The next prime is 135317761. The reversal of 135317760 is 67713531.

135317760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×135317760³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135317761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502906 + ... + 503174.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2^135317760 is an apocalyptic number.

135317760 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 135317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218544480).

135317760 is an abundant number, since it is smaller than the sum of its proper divisors (301771200).

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

135317760 is a wasteful number, since it uses less digits than its factorization.

135317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 135317760 is about 11632.6162147644. The cubic root of 135317760 is about 513.3949589628.

The spelling of 135317760 in words is "one hundred thirty-five million, three hundred seventeen thousand, seven hundred sixty".