126677538 has 48 divisors (see below), whose sum is σ = 298681656. Its totient is φ = 38568960.

The previous prime is 126677531. The next prime is 126677567. The reversal of 126677538 is 835776621.

It can be written as a sum of positive squares in 4 ways, for example, as 73051209 + 53626329 = 8547^2 + 7323^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126677493 and 126677502.

It is not an unprimeable number, because it can be changed into a prime (126677531) 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 23 ways as a sum of consecutive naturals, for example, 19908 + ... + 25488.

Almost surely, 2^126677538 is an apocalyptic number.

126677538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126677538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149340828).

126677538 is an abundant number, since it is smaller than the sum of its proper divisors (172004118).

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

126677538 is a wasteful number, since it uses less digits than its factorization.

126677538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5696 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 126677538 is about 11255.1116387178. Note that the first 3 decimals coincide. The cubic root of 126677538 is about 502.2267854641.

The spelling of 126677538 in words is "one hundred twenty-six million, six hundred seventy-seven thousand, five hundred thirty-eight".