135113417712 has 240 divisors, whose sum is σ = 485848382880. Its totient is φ = 35634235392.

The previous prime is 135113417653. The next prime is 135113417737. The reversal of 135113417712 is 217714311531.

135113417712 is a `hidden beast` number, since 1 + 351 + 134 + 177 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 29688 + ... + 520680.

It is an arithmetic number, because the mean of its divisors is an integer number (2024368262).

Almost surely, 2^135113417712 is an apocalyptic number.

135113417712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135113417712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242924191440).

135113417712 is an abundant number, since it is smaller than the sum of its proper divisors (350734965168).

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

135113417712 is a wasteful number, since it uses less digits than its factorization.

135113417712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491037 (or 491018 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The spelling of 135113417712 in words is "one hundred thirty-five billion, one hundred thirteen million, four hundred seventeen thousand, seven hundred twelve".