135677411188245 has 48 divisors (see below), whose sum is σ = 239569065919872. Its totient is φ = 71014368746880.

The previous prime is 135677411188237. The next prime is 135677411188247. The reversal of 135677411188245 is 542881114776531.

135677411188245 is a `hidden beast` number, since 1 + 3 + 56 + 77 + 411 + 1 + 88 + 24 + 5 = 666.

It is not a de Polignac number, because 135677411188245 - 2³ = 135677411188237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135677411188247) 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, 54570769 + ... + 57002838.

It is an arithmetic number, because the mean of its divisors is an integer number (4991022206664).

Almost surely, 2^{135677411188245} is an apocalyptic number.

135677411188245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135677411188245 is a deficient number, since it is larger than the sum of its proper divisors (103891654731627).

135677411188245 is a wasteful number, since it uses less digits than its factorization.

135677411188245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111574122 (or 111574119 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 135677411188245 in words is "one hundred thirty-five trillion, six hundred seventy-seven billion, four hundred eleven million, one hundred eighty-eight thousand, two hundred forty-five".