126353400 has 96 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 33520000.

The previous prime is 126353371. The next prime is 126353407. The reversal of 126353400 is 4353621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126353407) 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, 150181 + ... + 151019.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^126353400 is an apocalyptic number.

126353400 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 126353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

126353400 is an abundant number, since it is smaller than the sum of its proper divisors (267371400).

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

126353400 is a wasteful number, since it uses less digits than its factorization.

126353400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 126353400 is about 11240.7028250016. The cubic root of 126353400 is about 501.7980595462.

The spelling of 126353400 in words is "one hundred twenty-six million, three hundred fifty-three thousand, four hundred".