126038304 has 144 divisors (see below), whose sum is σ = 414348480. Its totient is φ = 35596800.

The previous prime is 126038303. The next prime is 126038333. The reversal of 126038304 is 403830621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (126038303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203307 + ... + 203925.

It is an arithmetic number, because the mean of its divisors is an integer number (2877420).

Almost surely, 2^126038304 is an apocalyptic number.

126038304 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 126038304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

126038304 is an abundant number, since it is smaller than the sum of its proper divisors (288310176).

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

126038304 is a wasteful number, since it uses less digits than its factorization.

126038304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126038304 is about 11226.6782264390. The cubic root of 126038304 is about 501.3805897685.

Adding to 126038304 its reverse (403830621), we get a palindrome (529868925).

The spelling of 126038304 in words is "one hundred twenty-six million, thirty-eight thousand, three hundred four".