126308364 has 192 divisors, whose sum is σ = 390168576. Its totient is φ = 30894336.

The previous prime is 126308363. The next prime is 126308389. The reversal of 126308364 is 463803621.

It is not an unprimeable number, because it can be changed into a prime (126308363) 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 63 ways as a sum of consecutive naturals, for example, 1180399 + ... + 1180505.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2^126308364 is an apocalyptic number.

126308364 is a gapful number since it is divisible by the number (14) 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 126308364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

126308364 is an abundant number, since it is smaller than the sum of its proper divisors (263860212).

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

126308364 is a wasteful number, since it uses less digits than its factorization.

126308364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 126308364 is about 11238.6993909438. The cubic root of 126308364 is about 501.7384340225.

The spelling of 126308364 in words is "one hundred twenty-six million, three hundred eight thousand, three hundred sixty-four".