126389424 has 240 divisors, whose sum is σ = 419839200. Its totient is φ = 32514048.

The previous prime is 126389413. The next prime is 126389489. The reversal of 126389424 is 424983621.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1159482 + ... + 1159590.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 2^126389424 is an apocalyptic number.

126389424 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 126389424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209919600).

126389424 is an abundant number, since it is smaller than the sum of its proper divisors (293449776).

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

126389424 is a wasteful number, since it uses less digits than its factorization.

126389424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 126389424 is about 11242.3051017129. The cubic root of 126389424 is about 501.8457434118.

The spelling of 126389424 in words is "one hundred twenty-six million, three hundred eighty-nine thousand, four hundred twenty-four".