135505432334214 has 64 divisors (see below), whose sum is σ = 303429919968000. Its totient is φ = 44822767720320.

The previous prime is 135505432334119. The next prime is 135505432334219. The reversal of 135505432334214 is 412433234505531.

135505432334214 is a `hidden beast` number, since 1 + 3 + 5 + 50 + 54 + 3 + 2 + 334 + 214 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135505432334214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135505432334219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12043477 + ... + 20397455.

It is an arithmetic number, because the mean of its divisors is an integer number (4741092499500).

Almost surely, 2^{135505432334214} is an apocalyptic number.

135505432334214 is an abundant number, since it is smaller than the sum of its proper divisors (167924487633786).

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

135505432334214 is a wasteful number, since it uses less digits than its factorization.

135505432334214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8356290 (or 8356284 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 135505432334214 its reverse (412433234505531), we get a palindrome (547938666839745).

The spelling of 135505432334214 in words is "one hundred thirty-five trillion, five hundred five billion, four hundred thirty-two million, three hundred thirty-four thousand, two hundred fourteen".