135166967397280 has 576 divisors, whose sum is σ = 406431641008512. Its totient is φ = 42096193413120.

The previous prime is 135166967397239. The next prime is 135166967397377. The reversal of 135166967397280 is 82793769661531.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6972031747 + ... + 6972051133.

It is an arithmetic number, because the mean of its divisors is an integer number (705610487862).

Almost surely, 2^{135166967397280} is an apocalyptic number.

135166967397280 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 135166967397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203215820504256).

135166967397280 is an abundant number, since it is smaller than the sum of its proper divisors (271264673611232).

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

135166967397280 is a wasteful number, since it uses less digits than its factorization.

135166967397280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517 (or 20502 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 73.

The spelling of 135166967397280 in words is "one hundred thirty-five trillion, one hundred sixty-six billion, nine hundred sixty-seven million, three hundred ninety-seven thousand, two hundred eighty".