135584283656712 has 128 divisors (see below), whose sum is σ = 377983442995200. Its totient is φ = 40175709484800.

The previous prime is 135584283656707. The next prime is 135584283656713. The reversal of 135584283656712 is 217656382485531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (135584283656713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8833887 + ... + 18687057.

It is an arithmetic number, because the mean of its divisors is an integer number (2952995648400).

Almost surely, 2^{135584283656712} is an apocalyptic number.

135584283656712 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 135584283656712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188991721497600).

135584283656712 is an abundant number, since it is smaller than the sum of its proper divisors (242399159338488).

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

135584283656712 is a wasteful number, since it uses less digits than its factorization.

135584283656712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854347 (or 9854343 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 66.

The spelling of 135584283656712 in words is "one hundred thirty-five trillion, five hundred eighty-four billion, two hundred eighty-three million, six hundred fifty-six thousand, seven hundred twelve".