126532800 has 336 divisors, whose sum is σ = 481888800. Its totient is φ = 32256000.

The previous prime is 126532787. The next prime is 126532801. The reversal of 126532800 is 8235621.

126532800 is a `hidden beast` number, since 1 + 2 + 653 + 2 + 8 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126532801) by changing a digit.

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, 1252750 + ... + 1252850.

Almost surely, 2^126532800 is an apocalyptic number.

126532800 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 126532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240944400).

126532800 is an abundant number, since it is smaller than the sum of its proper divisors (355356000).

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

126532800 is a wasteful number, since it uses less digits than its factorization.

126532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 126532800 is about 11248.6799225509. The cubic root of 126532800 is about 502.0354360894.

It can be divided in two parts, 1 and 26532800, that added together give a square (26532801 = 5151²).

The spelling of 126532800 in words is "one hundred twenty-six million, five hundred thirty-two thousand, eight hundred".