135105125114232 has 96 divisors (see below), whose sum is σ = 450350417069280. Its totient is φ = 35632120907520.

The previous prime is 135105125114221. The next prime is 135105125114243. The reversal of 135105125114232 is 232411521501531.

135105125114232 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 512 + 5 + 114 + 23 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (135105125114221) and next prime (135105125114243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10310213619 + ... + 10310226722.

It is an arithmetic number, because the mean of its divisors is an integer number (4691150177805).

Almost surely, 2^{135105125114232} is an apocalyptic number.

135105125114232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135105125114232 is an abundant number, since it is smaller than the sum of its proper divisors (315245291955048).

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

135105125114232 is a wasteful number, since it uses less digits than its factorization.

135105125114232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20620440373 (or 20620440366 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 135105125114232 its reverse (232411521501531), we get a palindrome (367516646615763).

The spelling of 135105125114232 in words is "one hundred thirty-five trillion, one hundred five billion, one hundred twenty-five million, one hundred fourteen thousand, two hundred thirty-two".