126182160 has 360 divisors, whose sum is σ = 493823304. Its totient is φ = 28753920.

The previous prime is 126182149. The next prime is 126182191. The reversal of 126182160 is 61281621.

It can be written as a sum of positive squares in 12 ways, for example, as 90326016 + 35856144 = 9504^2 + 5988^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2068530 + ... + 2068590.

Almost surely, 2^126182160 is an apocalyptic number.

126182160 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 126182160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246911652).

126182160 is an abundant number, since it is smaller than the sum of its proper divisors (367641144).

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

126182160 is a wasteful number, since it uses less digits than its factorization.

126182160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126182160 is about 11233.0832810943. The cubic root of 126182160 is about 501.5712703797.

The spelling of 126182160 in words is "one hundred twenty-six million, one hundred eighty-two thousand, one hundred sixty".