126286160 has 320 divisors, whose sum is σ = 419973120. Its totient is φ = 34007040.

The previous prime is 126286151. The next prime is 126286163. The reversal of 126286160 is 61682621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126286163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1521479 + ... + 1521561.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2^126286160 is an apocalyptic number.

126286160 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 126286160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

126286160 is an abundant number, since it is smaller than the sum of its proper divisors (293686960).

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

126286160 is a wasteful number, since it uses less digits than its factorization.

126286160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 126286160 is about 11237.7115108015. The cubic root of 126286160 is about 501.7090317652.

The spelling of 126286160 in words is "one hundred twenty-six million, two hundred eighty-six thousand, one hundred sixty".