135315300002435 has 256 divisors, whose sum is σ = 211679723520000. Its totient is φ = 80819574571008.

The previous prime is 135315300002383. The next prime is 135315300002447. The reversal of 135315300002435 is 534200003513531.

It is a happy number.

It is not a de Polignac number, because 135315300002435 - 2⁶ = 135315300002371 is a prime.

It is a super-2 number, since 2×135315300002435² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 135315300002395 and 135315300002404.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 92745235736 + ... + 92745237194.

It is an arithmetic number, because the mean of its divisors is an integer number (826873920000).

Almost surely, 2^{135315300002435} is an apocalyptic number.

135315300002435 is a deficient number, since it is larger than the sum of its proper divisors (76364423517565).

135315300002435 is a wasteful number, since it uses less digits than its factorization.

135315300002435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618.

The product of its (nonzero) digits is 81000, while the sum is 35.

Adding to 135315300002435 its reverse (534200003513531), we get a palindrome (669515303515966).

The spelling of 135315300002435 in words is "one hundred thirty-five trillion, three hundred fifteen billion, three hundred million, two thousand, four hundred thirty-five".