135415435104252 has 36 divisors (see below), whose sum is σ = 342406136010120. Its totient is φ = 45124499240352.

The previous prime is 135415435104217. The next prime is 135415435104319. The reversal of 135415435104252 is 252401534514531.

135415435104252 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 5 + 43 + 510 + 42 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 135415435104198 and 135415435104207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582345798 + ... + 582578285.

Almost surely, 2^{135415435104252} is an apocalyptic number.

135415435104252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135415435104252 is an abundant number, since it is smaller than the sum of its proper divisors (206990700905868).

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

135415435104252 is a wasteful number, since it uses less digits than its factorization.

135415435104252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164927322 (or 1164927317 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 135415435104252 its reverse (252401534514531), we get a palindrome (387816969618783).

The spelling of 135415435104252 in words is "one hundred thirty-five trillion, four hundred fifteen billion, four hundred thirty-five million, one hundred four thousand, two hundred fifty-two".