135525242034042 has 128 divisors (see below), whose sum is σ = 333779576352768. Its totient is φ = 35805757363200.

The previous prime is 135525242034031. The next prime is 135525242034107. The reversal of 135525242034042 is 240430242525531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 135525242033985 and 135525242034003.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4409067 + ... + 17043777.

It is an arithmetic number, because the mean of its divisors is an integer number (2607652940256).

Almost surely, 2^{135525242034042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135525242034042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166889788176384).

135525242034042 is an abundant number, since it is smaller than the sum of its proper divisors (198254334318726).

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

135525242034042 is a wasteful number, since it uses less digits than its factorization.

135525242034042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12635004.

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 135525242034042 its reverse (240430242525531), we get a palindrome (375955484559573).

The spelling of 135525242034042 in words is "one hundred thirty-five trillion, five hundred twenty-five billion, two hundred forty-two million, thirty-four thousand, forty-two".