126463200 has 288 divisors, whose sum is σ = 449971200. Its totient is φ = 30750720.

The previous prime is 126463163. The next prime is 126463219. The reversal of 126463200 is 2364621.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600761 + ... + 1600839.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^126463200 is an apocalyptic number.

126463200 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 126463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

126463200 is an abundant number, since it is smaller than the sum of its proper divisors (323508000).

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

126463200 is a wasteful number, since it uses less digits than its factorization.

126463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126463200 is about 11245.5858006597. The cubic root of 126463200 is about 501.9433701721.

The spelling of 126463200 in words is "one hundred twenty-six million, four hundred sixty-three thousand, two hundred".