126766112 has 48 divisors (see below), whose sum is σ = 274754592. Its totient is φ = 57093120.

The previous prime is 126766109. The next prime is 126766139. The reversal of 126766112 is 211667621.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38183 + ... + 41369.

It is an arithmetic number, because the mean of its divisors is an integer number (5724054).

Almost surely, 2^126766112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137377296).

126766112 is an abundant number, since it is smaller than the sum of its proper divisors (147988480).

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

126766112 is a wasteful number, since it uses less digits than its factorization.

126766112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3313 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 126766112 is about 11259.0457855007. The cubic root of 126766112 is about 502.3438119238.

The spelling of 126766112 in words is "one hundred twenty-six million, seven hundred sixty-six thousand, one hundred twelve".