126057160 has 64 divisors (see below), whose sum is σ = 294635520. Its totient is φ = 48487680.

The previous prime is 126057143. The next prime is 126057167. The reversal of 126057160 is 61750621.

It is not an unprimeable number, because it can be changed into a prime (126057167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343297 + ... + 343663.

It is an arithmetic number, because the mean of its divisors is an integer number (4603680).

Almost surely, 2^126057160 is an apocalyptic number.

126057160 is a gapful number since it is divisible by the number (10) 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 126057160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147317760).

126057160 is an abundant number, since it is smaller than the sum of its proper divisors (168578360).

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

126057160 is a wasteful number, since it uses less digits than its factorization.

126057160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 126057160 is about 11227.5179803909. The cubic root of 126057160 is about 501.4055915886.

The spelling of 126057160 in words is "one hundred twenty-six million, fifty-seven thousand, one hundred sixty".