126187200 has 336 divisors, whose sum is σ = 483778560. Its totient is φ = 31933440.

The previous prime is 126187199. The next prime is 126187211. The reversal of 126187200 is 2781621.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 993537 + ... + 993663.

Almost surely, 2^126187200 is an apocalyptic number.

126187200 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 126187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241889280).

126187200 is an abundant number, since it is smaller than the sum of its proper divisors (357591360).

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

126187200 is a wasteful number, since it uses less digits than its factorization.

126187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 126187200 is about 11233.3076161921. The cubic root of 126187200 is about 501.5779482533.

The spelling of 126187200 in words is "one hundred twenty-six million, one hundred eighty-seven thousand, two hundred".