126090048 has 112 divisors (see below), whose sum is σ = 397946880. Its totient is φ = 34450944.

The previous prime is 126090017. The next prime is 126090059. The reversal of 126090048 is 840090621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 126089997 and 126090024.

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, 28873 + ... + 32951.

Almost surely, 2^126090048 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 126090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198973440).

126090048 is an abundant number, since it is smaller than the sum of its proper divisors (271856832).

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

126090048 is a wasteful number, since it uses less digits than its factorization.

126090048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 126090048 is about 11228.9825006543. The cubic root of 126090048 is about 501.4491929548.

The spelling of 126090048 in words is "one hundred twenty-six million, ninety thousand, forty-eight".