126255600 has 180 divisors, whose sum is σ = 464139936. Its totient is φ = 31672320.

The previous prime is 126255599. The next prime is 126255629. The reversal of 126255600 is 6552621.

126255600 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60169 + ... + 62231.

Almost surely, 2^126255600 is an apocalyptic number.

126255600 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 126255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232069968).

126255600 is an abundant number, since it is smaller than the sum of its proper divisors (337884336).

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

126255600 is a wasteful number, since it uses less digits than its factorization.

126255600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 126255600 is about 11236.3517210881. The cubic root of 126255600 is about 501.6685589614.

It can be divided in two parts, 12625 and 5600, that added together give a square (18225 = 135²).

The spelling of 126255600 in words is "one hundred twenty-six million, two hundred fifty-five thousand, six hundred".