126449130600 has 432 divisors, whose sum is σ = 482693129100. Its totient is φ = 29485762560.

The previous prime is 126449130571. The next prime is 126449130637. The reversal of 126449130600 is 6031944621.

126449130600 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 49 + 1 + 3 + 0 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 669670884 + 125779459716 = 25878^2 + 354654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8439916 + ... + 8454884.

Almost surely, 2^126449130600 is an apocalyptic number.

126449130600 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 126449130600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241346564550).

126449130600 is an abundant number, since it is smaller than the sum of its proper divisors (356243998500).

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

126449130600 is a wasteful number, since it uses less digits than its factorization.

126449130600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15011 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 126449 and 130600, that added together give a square (257049 = 507²).

The spelling of 126449130600 in words is "one hundred twenty-six billion, four hundred forty-nine million, one hundred thirty thousand, six hundred".