126351300 has 72 divisors (see below), whose sum is σ = 375489856. Its totient is φ = 32780160.

The previous prime is 126351287. The next prime is 126351301. The reversal of 126351300 is 3153621.

It is not an unprimeable number, because it can be changed into a prime (126351301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5409 + ... + 16791.

Almost surely, 2^126351300 is an apocalyptic number.

126351300 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 126351300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187744928).

126351300 is an abundant number, since it is smaller than the sum of its proper divisors (249138556).

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

126351300 is a wasteful number, since it uses less digits than its factorization.

126351300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 126351300 is about 11240.6094140843. The cubic root of 126351300 is about 501.7952795609.

The spelling of 126351300 in words is "one hundred twenty-six million, three hundred fifty-one thousand, three hundred".