126594900 has 90 divisors (see below), whose sum is σ = 410396910. Its totient is φ = 33756480.

The previous prime is 126594887. The next prime is 126594913. The reversal of 126594900 is 9495621.

It is an interprime number because it is at equal distance from previous prime (126594887) and next prime (126594913).

It can be written as a sum of positive squares in 3 ways, for example, as 43639236 + 82955664 = 6606^2 + 9108^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 286 + ... + 15914.

Almost surely, 2^126594900 is an apocalyptic number.

126594900 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 126594900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205198455).

126594900 is an abundant number, since it is smaller than the sum of its proper divisors (283802010).

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

126594900 is a wasteful number, since it uses less digits than its factorization.

126594900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 126594900 is about 11251.4399078518. The cubic root of 126594900 is about 502.1175526150.

The spelling of 126594900 in words is "one hundred twenty-six million, five hundred ninety-four thousand, nine hundred".