127134764928 has 192 divisors, whose sum is σ = 388221135120. Its totient is φ = 39797145600.

The previous prime is 127134764917. The next prime is 127134764951. The reversal of 127134764928 is 829467431721.

127134764928 is a `hidden beast` number, since 1 + 271 + 347 + 6 + 4 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×127134764928³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9138778 + ... + 9152678.

Almost surely, 2^127134764928 is an apocalyptic number.

127134764928 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 127134764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194110567560).

127134764928 is an abundant number, since it is smaller than the sum of its proper divisors (261086370192).

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

127134764928 is a wasteful number, since it uses less digits than its factorization.

127134764928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14405 (or 14390 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 127134764928 in words is "one hundred twenty-seven billion, one hundred thirty-four million, seven hundred sixty-four thousand, nine hundred twenty-eight".