135456856455105 has 48 divisors (see below), whose sum is σ = 237185055634176. Its totient is φ = 71507709705600.

The previous prime is 135456856455103. The next prime is 135456856455113. The reversal of 135456856455105 is 501554658654531.

It is a happy number.

135456856455105 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 6 + 8 + 564 + 55 + 10 + 5 = 666.

It is not a de Polignac number, because 135456856455105 - 2¹ = 135456856455103 is a prime.

It is a super-2 number, since 2×135456856455105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135456856455103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11436204 + ... + 20042466.

It is an arithmetic number, because the mean of its divisors is an integer number (4941355325712).

Almost surely, 2^{135456856455105} is an apocalyptic number.

135456856455105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135456856455105 is a deficient number, since it is larger than the sum of its proper divisors (101728199179071).

135456856455105 is a wasteful number, since it uses less digits than its factorization.

135456856455105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8609838 (or 8609835 counting only the distinct ones).

The product of its (nonzero) digits is 216000000, while the sum is 63.

The spelling of 135456856455105 in words is "one hundred thirty-five trillion, four hundred fifty-six billion, eight hundred fifty-six million, four hundred fifty-five thousand, one hundred five".