135677411185734 has 96 divisors (see below), whose sum is σ = 321394712371200. Its totient is φ = 41024301511680.

The previous prime is 135677411185661. The next prime is 135677411185747. The reversal of 135677411185734 is 437581114776531.

135677411185734 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 7 + 7 + 41 + 1 + 18 + 573 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 989418027 + ... + 989555145.

It is an arithmetic number, because the mean of its divisors is an integer number (3347861587200).

Almost surely, 2^{135677411185734} is an apocalyptic number.

135677411185734 is an abundant number, since it is smaller than the sum of its proper divisors (185717301185466).

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

135677411185734 is a wasteful number, since it uses less digits than its factorization.

135677411185734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148050 (or 148047 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 135677411185734 in words is "one hundred thirty-five trillion, six hundred seventy-seven billion, four hundred eleven million, one hundred eighty-five thousand, seven hundred thirty-four".