135420434105152 has 112 divisors (see below), whose sum is σ = 308282727055360. Its totient is φ = 57816553766400.

The previous prime is 135420434105029. The next prime is 135420434105171. The reversal of 135420434105152 is 251501434024531.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 1145911027 + ... + 1146029197.

Almost surely, 2^{135420434105152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135420434105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154141363527680).

135420434105152 is an abundant number, since it is smaller than the sum of its proper divisors (172862292950208).

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

135420434105152 is a wasteful number, since it uses less digits than its factorization.

135420434105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127900 (or 127890 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 135420434105152 its reverse (251501434024531), we get a palindrome (386921868129683).

The spelling of 135420434105152 in words is "one hundred thirty-five trillion, four hundred twenty billion, four hundred thirty-four million, one hundred five thousand, one hundred fifty-two".