126526848 has 128 divisors (see below), whose sum is σ = 388677120. Its totient is φ = 35721216.

The previous prime is 126526843. The next prime is 126526859. The reversal of 126526848 is 848625621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126526843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 276636 + ... + 277092.

It is an arithmetic number, because the mean of its divisors is an integer number (3036540).

Almost surely, 2^126526848 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 126526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194338560).

126526848 is an abundant number, since it is smaller than the sum of its proper divisors (262150272).

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

126526848 is a wasteful number, since it uses less digits than its factorization.

126526848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 126526848 is about 11248.4153550622. The cubic root of 126526848 is about 502.0275641865.

The spelling of 126526848 in words is "one hundred twenty-six million, five hundred twenty-six thousand, eight hundred forty-eight".