135312172184046 has 512 divisors, whose sum is σ = 348083321241600. Its totient is φ = 34642003968000.

The previous prime is 135312172183963. The next prime is 135312172184113. The reversal of 135312172184046 is 640481271213531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135312172183986 and 135312172184004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13382664531 + ... + 13382674641.

It is an arithmetic number, because the mean of its divisors is an integer number (679850236800).

Almost surely, 2^{135312172184046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135312172184046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174041660620800).

135312172184046 is an abundant number, since it is smaller than the sum of its proper divisors (212771149057554).

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

135312172184046 is a wasteful number, since it uses less digits than its factorization.

135312172184046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 135312172184046 in words is "one hundred thirty-five trillion, three hundred twelve billion, one hundred seventy-two million, one hundred eighty-four thousand, forty-six".