135111873326760 has 768 divisors, whose sum is σ = 500157674864640. Its totient is φ = 31348121333760.

The previous prime is 135111873326753. The next prime is 135111873326761. The reversal of 135111873326760 is 67623378111531.

135111873326760 is a `hidden beast` number, since 1 + 3 + 5 + 11 + 187 + 332 + 67 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135111873326697 and 135111873326706.

It is not an unprimeable number, because it can be changed into a prime (135111873326761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1708355937 + ... + 1708435023.

It is an arithmetic number, because the mean of its divisors is an integer number (651246972480).

Almost surely, 2^{135111873326760} is an apocalyptic number.

135111873326760 is a gapful number since it is divisible by the number (10) 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 135111873326760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250078837432320).

135111873326760 is an abundant number, since it is smaller than the sum of its proper divisors (365045801537880).

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

135111873326760 is a wasteful number, since it uses less digits than its factorization.

135111873326760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79366 (or 79359 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 135111873326760 in words is "one hundred thirty-five trillion, one hundred eleven billion, eight hundred seventy-three million, three hundred twenty-six thousand, seven hundred sixty".