135515315031345 has 96 divisors (see below), whose sum is σ = 240478175268864. Its totient is φ = 70564120704000.

The previous prime is 135515315031329. The next prime is 135515315031377. The reversal of 135515315031345 is 543130513515531.

135515315031345 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 5 + 3 + 1 + 503 + 134 + 5 = 666.

It is not a de Polignac number, because 135515315031345 - 2⁴ = 135515315031329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135515315031345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1469225349 + ... + 1469317581.

It is an arithmetic number, because the mean of its divisors is an integer number (2504980992384).

Almost surely, 2^{135515315031345} is an apocalyptic number.

135515315031345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135515315031345 is a deficient number, since it is larger than the sum of its proper divisors (104962860237519).

135515315031345 is a wasteful number, since it uses less digits than its factorization.

135515315031345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93983 (or 93980 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 45.

Adding to 135515315031345 its reverse (543130513515531), we get a palindrome (678645828546876).

The spelling of 135515315031345 in words is "one hundred thirty-five trillion, five hundred fifteen billion, three hundred fifteen million, thirty-one thousand, three hundred forty-five".