126114400 has 72 divisors (see below), whose sum is σ = 324119880. Its totient is φ = 47784960.

The previous prime is 126114383. The next prime is 126114403. The reversal of 126114400 is 4411621.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126114403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11052 + ... + 19348.

It is an arithmetic number, because the mean of its divisors is an integer number (4501665).

Almost surely, 2^126114400 is an apocalyptic number.

126114400 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 126114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162059940).

126114400 is an abundant number, since it is smaller than the sum of its proper divisors (198005480).

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

126114400 is a wasteful number, since it uses less digits than its factorization.

126114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8323 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 126114400 is about 11230.0667851977. The cubic root of 126114400 is about 501.4814728080.

The spelling of 126114400 in words is "one hundred twenty-six million, one hundred fourteen thousand, four hundred".