127438811136 has 1092 divisors, whose sum is σ = 485812731432. Its totient is φ = 33108590592.

The previous prime is 127438811117. The next prime is 127438811173. The reversal of 127438811136 is 631118834721.

127438811136 is a `hidden beast` number, since 1 + 2 + 7 + 438 + 81 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1092).

It is a super-2 number, since 2×127438811136² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 127438811091 and 127438811100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1902071775 + ... + 1902071841.

Almost surely, 2^127438811136 is an apocalyptic number.

127438811136 is a gapful number since it is divisible by the number (16) 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 127438811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242906365716).

127438811136 is an abundant number, since it is smaller than the sum of its proper divisors (358373920296).

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

127438811136 is an frugal number, since it uses more digits than its factorization.

127438811136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 92 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 127438811136 in words is "one hundred twenty-seven billion, four hundred thirty-eight million, eight hundred eleven thousand, one hundred thirty-six".