135317345592 has 256 divisors, whose sum is σ = 406476403200. Its totient is φ = 36995512320.

The previous prime is 135317345551. The next prime is 135317345629. The reversal of 135317345592 is 295543713531.

It is a super-3 number, since 3×135317345592³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53294259 + ... + 53296797.

It is an arithmetic number, because the mean of its divisors is an integer number (1587798450).

Almost surely, 2^135317345592 is an apocalyptic number.

135317345592 is a gapful number since it is divisible by the number (12) 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 135317345592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203238201600).

135317345592 is an abundant number, since it is smaller than the sum of its proper divisors (271159057608).

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

135317345592 is a wasteful number, since it uses less digits than its factorization.

135317345592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2914 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 48.

The spelling of 135317345592 in words is "one hundred thirty-five billion, three hundred seventeen million, three hundred forty-five thousand, five hundred ninety-two".