135130739818176 has 560 divisors, whose sum is σ = 454535026773696. Its totient is φ = 39454754144256.

The previous prime is 135130739818171. The next prime is 135130739818229. The reversal of 135130739818176 is 671818937031531.

135130739818176 is a `hidden beast` number, since 1 + 3 + 51 + 307 + 39 + 8 + 181 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (135130739818171) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74096020 + ... + 75897836.

Almost surely, 2^{135130739818176} is an apocalyptic number.

135130739818176 is a gapful number since it is divisible by the number (16) 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 135130739818176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227267513386848).

135130739818176 is an abundant number, since it is smaller than the sum of its proper divisors (319404286955520).

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

135130739818176 is a wasteful number, since it uses less digits than its factorization.

135130739818176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801918 (or 1801899 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 135130739818176 in words is "one hundred thirty-five trillion, one hundred thirty billion, seven hundred thirty-nine million, eight hundred eighteen thousand, one hundred seventy-six".