126132160 has 112 divisors (see below), whose sum is σ = 374538240. Its totient is φ = 39306240.

The previous prime is 126132143. The next prime is 126132169. The reversal of 126132160 is 61231621.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126132169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22081 + ... + 27199.

Almost surely, 2^126132160 is an apocalyptic number.

126132160 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 126132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187269120).

126132160 is an abundant number, since it is smaller than the sum of its proper divisors (248406080).

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

126132160 is a wasteful number, since it uses less digits than its factorization.

126132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5154 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 126132160 is about 11230.8574917501. The cubic root of 126132160 is about 501.5050119992.

Adding to 126132160 its reverse (61231621), we get a palindrome (187363781).

The spelling of 126132160 in words is "one hundred twenty-six million, one hundred thirty-two thousand, one hundred sixty".