126613300 has 144 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 43056000.

The previous prime is 126613231. The next prime is 126613309. The reversal of 126613300 is 3316621.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126613309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602661 + ... + 1602739.

It is an arithmetic number, because the mean of its divisors is an integer number (2222080).

Almost surely, 2^126613300 is an apocalyptic number.

126613300 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 126613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

126613300 is an abundant number, since it is smaller than the sum of its proper divisors (193366220).

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

126613300 is a wasteful number, since it uses less digits than its factorization.

126613300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 126613300 is about 11252.2575512650. The cubic root of 126613300 is about 502.1418782800.

Adding to 126613300 its reverse (3316621), we get a palindrome (129929921).

The spelling of 126613300 in words is "one hundred twenty-six million, six hundred thirteen thousand, three hundred".