135317843136 has 504 divisors, whose sum is σ = 484725146880. Its totient is φ = 36612269568.

The previous prime is 135317843131. The next prime is 135317843149. The reversal of 135317843136 is 631348713531.

135317843136 is a `hidden beast` number, since 1 + 3 + 531 + 7 + 84 + 3 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×135317843136³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135317843091 and 135317843100.

It is not an unprimeable number, because it can be changed into a prime (135317843131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55846021 + ... + 55848443.

Almost surely, 2^135317843136 is an apocalyptic number.

135317843136 is a gapful number since it is divisible by the number (16) 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 135317843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242362573440).

135317843136 is an abundant number, since it is smaller than the sum of its proper divisors (349407303744).

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

135317843136 is an frugal number, since it uses more digits than its factorization.

135317843136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2454 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 135317843136 in words is "one hundred thirty-five billion, three hundred seventeen million, eight hundred forty-three thousand, one hundred thirty-six".