126125856 has 192 divisors, whose sum is σ = 403522560. Its totient is φ = 38154240.

The previous prime is 126125851. The next prime is 126125903. The reversal of 126125856 is 658521621.

126125856 is a `hidden beast` number, since 12 + 61 + 2 + 585 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126125856.

It is not an unprimeable number, because it can be changed into a prime (126125851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455190 + ... + 455466.

It is an arithmetic number, because the mean of its divisors is an integer number (2101680).

Almost surely, 2^126125856 is an apocalyptic number.

126125856 is a gapful number since it is divisible by the number (16) 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 126125856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201761280).

126125856 is an abundant number, since it is smaller than the sum of its proper divisors (277396704).

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

126125856 is a wasteful number, since it uses less digits than its factorization.

126125856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 126125856 is about 11230.5768329147. The cubic root of 126125856 is about 501.4966568996.

The spelling of 126125856 in words is "one hundred twenty-six million, one hundred twenty-five thousand, eight hundred fifty-six".