135243420312 has 512 divisors, whose sum is σ = 468951275520. Its totient is φ = 31366103040.

The previous prime is 135243420283. The next prime is 135243420331. The reversal of 135243420312 is 213024342531.

It is a self number, because there is not a number n which added to its sum of digits gives 135243420312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207110578 + ... + 207111230.

It is an arithmetic number, because the mean of its divisors is an integer number (915920460).

Almost surely, 2^135243420312 is an apocalyptic number.

135243420312 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 135243420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234475637760).

135243420312 is an abundant number, since it is smaller than the sum of its proper divisors (333707855208).

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

135243420312 is a wasteful number, since it uses less digits than its factorization.

135243420312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 135243420312 its reverse (213024342531), we get a palindrome (348267762843).

It can be divided in two parts, 135243 and 420312, that added together give a palindrome (555555).

The spelling of 135243420312 in words is "one hundred thirty-five billion, two hundred forty-three million, four hundred twenty thousand, three hundred twelve".