126504960 has 208 divisors, whose sum is σ = 424621440. Its totient is φ = 32112640.

The previous prime is 126504953. The next prime is 126504979. The reversal of 126504960 is 69405621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781725 + ... + 1781795.

Almost surely, 2^126504960 is an apocalyptic number.

126504960 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 126504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212310720).

126504960 is an abundant number, since it is smaller than the sum of its proper divisors (298116480).

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

126504960 is an equidigital number, since it uses as much as digits as its factorization.

126504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 126504960 is about 11247.4423759360. The cubic root of 126504960 is about 501.9986137748.

The spelling of 126504960 in words is "one hundred twenty-six million, five hundred four thousand, nine hundred sixty".