127134352800 has 864 divisors, whose sum is σ = 570874711680. Its totient is φ = 25895116800.

The previous prime is 127134352789. The next prime is 127134352823. The reversal of 127134352800 is 8253431721.

127134352800 is a `hidden beast` number, since 1 + 271 + 34 + 352 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18997455 + ... + 19004145.

It is an arithmetic number, because the mean of its divisors is an integer number (660734620).

Almost surely, 2^127134352800 is an apocalyptic number.

127134352800 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 127134352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285437355840).

127134352800 is an abundant number, since it is smaller than the sum of its proper divisors (443740358880).

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

127134352800 is a wasteful number, since it uses less digits than its factorization.

127134352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 127134352800 in words is "one hundred twenty-seven billion, one hundred thirty-four million, three hundred fifty-two thousand, eight hundred".