126458948 has 48 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 48427680.

The previous prime is 126458939. The next prime is 126458957. The reversal of 126458948 is 849854621.

It is an interprime number because it is at equal distance from previous prime (126458939) and next prime (126458957).

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, 14693 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (5846400).

Almost surely, 2^126458948 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 126458948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

126458948 is an abundant number, since it is smaller than the sum of its proper divisors (154168252).

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

126458948 is a wasteful number, since it uses less digits than its factorization.

126458948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7040 (or 7038 counting only the distinct ones).

The product of its digits is 552960, while the sum is 47.

The square root of 126458948 is about 11245.3967471139. The cubic root of 126458948 is about 501.9377445905.

The spelling of 126458948 in words is "one hundred twenty-six million, four hundred fifty-eight thousand, nine hundred forty-eight".