127678081137152 has 480 divisors, whose sum is σ = 327455498506752. Its totient is φ = 49269143863296.

The previous prime is 127678081137143. The next prime is 127678081137157. The reversal of 127678081137152 is 251731180876721.

It is a super-2 number, since 2×127678081137152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127678081137091 and 127678081137100.

It is not an unprimeable number, because it can be changed into a prime (127678081137157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11177275313 + ... + 11177286735.

Almost surely, 2^{127678081137152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127678081137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163727749253376).

127678081137152 is an abundant number, since it is smaller than the sum of its proper divisors (199777417369600).

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

127678081137152 is a wasteful number, since it uses less digits than its factorization.

127678081137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 59.

The spelling of 127678081137152 in words is "one hundred twenty-seven trillion, six hundred seventy-eight billion, eighty-one million, one hundred thirty-seven thousand, one hundred fifty-two".