126785300 has 36 divisors (see below), whose sum is σ = 277870236. Its totient is φ = 50208000.

The previous prime is 126785297. The next prime is 126785317. The reversal of 126785300 is 3587621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30980356 + 95804944 = 5566^2 + 9788^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3824 + ... + 16376.

Almost surely, 2^126785300 is an apocalyptic number.

126785300 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 126785300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138935118).

126785300 is an abundant number, since it is smaller than the sum of its proper divisors (151084936).

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

126785300 is a wasteful number, since it uses less digits than its factorization.

126785300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12668 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 126785300 is about 11259.8978680981. The cubic root of 126785300 is about 502.3691564648.

The spelling of 126785300 in words is "one hundred twenty-six million, seven hundred eighty-five thousand, three hundred".