126865200 has 240 divisors, whose sum is σ = 507038976. Its totient is φ = 26342400.

The previous prime is 126865183. The next prime is 126865243. The reversal of 126865200 is 2568621.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91714 + ... + 93086.

Almost surely, 2^126865200 is an apocalyptic number.

126865200 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 126865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253519488).

126865200 is an abundant number, since it is smaller than the sum of its proper divisors (380173776).

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

126865200 is a wasteful number, since it uses less digits than its factorization.

126865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 126865200 is about 11263.4452988417. The cubic root of 126865200 is about 502.4746651914.

The spelling of 126865200 in words is "one hundred twenty-six million, eight hundred sixty-five thousand, two hundred".