135436938252 has 576 divisors, whose sum is σ = 442634895360. Its totient is φ = 31744742400.

The previous prime is 135436938251. The next prime is 135436938269. The reversal of 135436938252 is 252839634531.

It is a junction number, because it is equal to n+sod(n) for n = 135436938195 and 135436938204.

It is not an unprimeable number, because it can be changed into a prime (135436938251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278104353 + ... + 278104839.

It is an arithmetic number, because the mean of its divisors is an integer number (768463360).

Almost surely, 2^135436938252 is an apocalyptic number.

135436938252 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 135436938252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221317447680).

135436938252 is an abundant number, since it is smaller than the sum of its proper divisors (307197957108).

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

135436938252 is a wasteful number, since it uses less digits than its factorization.

135436938252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 633 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The spelling of 135436938252 in words is "one hundred thirty-five billion, four hundred thirty-six million, nine hundred thirty-eight thousand, two hundred fifty-two".