126817488 has 150 divisors (see below), whose sum is σ = 427186386. Its totient is φ = 36215424.

The previous prime is 126817459. The next prime is 126817507. The reversal of 126817488 is 884718621.

It can be written as a sum of positive squares in only one way, i.e., 73410624 + 53406864 = 8568^2 + 7308^2 .

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

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 62506 + ... + 64502.

Almost surely, 2^126817488 is an apocalyptic number.

126817488 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 126817488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213593193).

126817488 is an abundant number, since it is smaller than the sum of its proper divisors (300368898).

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

126817488 is a wasteful number, since it uses less digits than its factorization.

126817488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2009 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 126817488 is about 11261.3270976382. The cubic root of 126817488 is about 502.4116663619.

The spelling of 126817488 in words is "one hundred twenty-six million, eight hundred seventeen thousand, four hundred eighty-eight".