126775600 has 120 divisors (see below), whose sum is σ = 366563840. Its totient is φ = 41160960.

The previous prime is 126775589. The next prime is 126775603. The reversal of 126775600 is 6577621.

It is not an unprimeable number, because it can be changed into a prime (126775603) 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, 52009 + ... + 54391.

Almost surely, 2^126775600 is an apocalyptic number.

126775600 is a gapful number since it is divisible by the number (10) 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 126775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183281920).

126775600 is an abundant number, since it is smaller than the sum of its proper divisors (239788240).

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

126775600 is a wasteful number, since it uses less digits than its factorization.

126775600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 126775600 is about 11259.4671277108. The cubic root of 126775600 is about 502.3563445035.

It can be divided in two parts, 1267 and 75600, that added together give a palindrome (76867).

The spelling of 126775600 in words is "one hundred twenty-six million, seven hundred seventy-five thousand, six hundred".