127749636 has 240 divisors, whose sum is σ = 416317440. Its totient is φ = 33359040.

The previous prime is 127749631. The next prime is 127749647. The reversal of 127749636 is 636947721.

127749636 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 4 + 9 + 636 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 127749591 and 127749600.

It is not an unprimeable number, because it can be changed into a prime (127749631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1617045 + ... + 1617123.

It is an arithmetic number, because the mean of its divisors is an integer number (1734656).

Almost surely, 2^127749636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127749636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208158720).

127749636 is an abundant number, since it is smaller than the sum of its proper divisors (288567804).

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

127749636 is a wasteful number, since it uses less digits than its factorization.

127749636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 127749636 is about 11302.6384530339. The cubic root of 127749636 is about 503.6396233326.

The spelling of 127749636 in words is "one hundred twenty-seven million, seven hundred forty-nine thousand, six hundred thirty-six".