127014475536 has 120 divisors (see below), whose sum is σ = 385073608920. Its totient is φ = 39081279744.

The previous prime is 127014475481. The next prime is 127014475541. The reversal of 127014475536 is 635574410721.

127014475536 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 1 + 44 + 75 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38541542400 + 88472933136 = 196320^2 + 297444^2 .

It is a super-2 number, since 2×127014475536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127014475491 and 127014475500.

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 23 ways as a sum of consecutive naturals, for example, 115630 + ... + 517106.

It is an arithmetic number, because the mean of its divisors is an integer number (3208946741).

Almost surely, 2^127014475536 is an apocalyptic number.

127014475536 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 127014475536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192536804460).

127014475536 is an abundant number, since it is smaller than the sum of its proper divisors (258059133384).

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

127014475536 is a wasteful number, since it uses less digits than its factorization.

127014475536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401530 (or 401495 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 127014475536 in words is "one hundred twenty-seven billion, fourteen million, four hundred seventy-five thousand, five hundred thirty-six".