126364900 has 36 divisors (see below), whose sum is σ = 276214960. Its totient is φ = 50176800.

The previous prime is 126364867. The next prime is 126364933. The reversal of 126364900 is 9463621.

It is an interprime number because it is at equal distance from previous prime (126364867) and next prime (126364933).

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, 9355 + ... + 18445.

Almost surely, 2^126364900 is an apocalyptic number.

126364900 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 126364900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138107480).

126364900 is an abundant number, since it is smaller than the sum of its proper divisors (149850060).

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

126364900 is a wasteful number, since it uses less digits than its factorization.

126364900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 126364900 is about 11241.2143472136. The cubic root of 126364900 is about 501.8132827287.

The spelling of 126364900 in words is "one hundred twenty-six million, three hundred sixty-four thousand, nine hundred".