126309300 has 144 divisors (see below), whose sum is σ = 398099520. Its totient is φ = 30735360.

The previous prime is 126309299. The next prime is 126309311. The reversal of 126309300 is 3903621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541984 + ... + 542216.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 2^126309300 is an apocalyptic number.

126309300 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 126309300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199049760).

126309300 is an abundant number, since it is smaller than the sum of its proper divisors (271790220).

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

126309300 is a wasteful number, since it uses less digits than its factorization.

126309300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 126309300 is about 11238.7410326958. The cubic root of 126309300 is about 501.7396733863.

The spelling of 126309300 in words is "one hundred twenty-six million, three hundred nine thousand, three hundred".