126315600 has 60 divisors (see below), whose sum is σ = 404634816. Its totient is φ = 33683840.

The previous prime is 126315599. The next prime is 126315611. The reversal of 126315600 is 6513621.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51432 + ... + 53831.

Almost surely, 2^126315600 is an apocalyptic number.

126315600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126315600 is an abundant number, since it is smaller than the sum of its proper divisors (278319216).

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

126315600 is a wasteful number, since it uses less digits than its factorization.

126315600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105284 (or 105273 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 126315600 is about 11239.0213097049. The cubic root of 126315600 is about 501.7480150982.

The spelling of 126315600 in words is "one hundred twenty-six million, three hundred fifteen thousand, six hundred".