135135343504 has 80 divisors (see below), whose sum is σ = 302127134848. Its totient is φ = 57356522496.

The previous prime is 135135343493. The next prime is 135135343517. The reversal of 135135343504 is 405343531531.

It is a super-2 number, since 2×135135343504² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5385772 + ... + 5410804.

Almost surely, 2^135135343504 is an apocalyptic number.

135135343504 is a gapful number since it is divisible by the number (14) 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 135135343504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151063567424).

135135343504 is an abundant number, since it is smaller than the sum of its proper divisors (166991791344).

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

135135343504 is a wasteful number, since it uses less digits than its factorization.

135135343504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25506 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 37.

The spelling of 135135343504 in words is "one hundred thirty-five billion, one hundred thirty-five million, three hundred forty-three thousand, five hundred four".