127134144000 has 1280 divisors, whose sum is σ = 505574784000. Its totient is φ = 31430246400.

The previous prime is 127134143993. The next prime is 127134144023. The reversal of 127134144000 is 441431721.

127134144000 is a `hidden beast` number, since 127 + 134 + 1 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×127134144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2154815971 + ... + 2154816029.

It is an arithmetic number, because the mean of its divisors is an integer number (394980300).

Almost surely, 2^127134144000 is an apocalyptic number.

127134144000 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 127134144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392000).

127134144000 is an abundant number, since it is smaller than the sum of its proper divisors (378440640000).

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

127134144000 is an equidigital number, since it uses as much as digits as its factorization.

127134144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 127134144000 its reverse (441431721), we get a palindrome (127575575721).

The spelling of 127134144000 in words is "one hundred twenty-seven billion, one hundred thirty-four million, one hundred forty-four thousand".