127148963519808 has 168 divisors, whose sum is σ = 378338568159552. Its totient is φ = 42339153475584.

The previous prime is 127148963519783. The next prime is 127148963519821. The reversal of 127148963519808 is 808915369841721.

It is a happy number.

127148963519808 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 48 + 9 + 63 + 519 + 8 + 0 + 8 = 666.

It is a super-3 number, since 3×127148963519808³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10811416 + ... + 19266152.

It is an arithmetic number, because the mean of its divisors is an integer number (2252015286664).

It is a 1-persistent number, because it is pandigital, but 2⋅127148963519808 = 254297927039616 is not.

Almost surely, 2^{127148963519808} is an apocalyptic number.

127148963519808 is a gapful number since it is divisible by the number (18) 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 127148963519808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189169284079776).

127148963519808 is an abundant number, since it is smaller than the sum of its proper divisors (251189604639744).

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

127148963519808 is an frugal number, since it uses more digits than its factorization.

127148963519808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455731 (or 8455709 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 127148963519808 in words is "one hundred twenty-seven trillion, one hundred forty-eight billion, nine hundred sixty-three million, five hundred nineteen thousand, eight hundred eight".