126134832 has 80 divisors (see below), whose sum is σ = 346799232. Its totient is φ = 39367680.

The previous prime is 126134831. The next prime is 126134839. The reversal of 126134832 is 238431621.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 126134832.

It is not an unprimeable number, because it can be changed into a prime (126134831) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 269863 + ... + 270329.

Almost surely, 2^126134832 is an apocalyptic number.

126134832 is a gapful number since it is divisible by the number (12) 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 126134832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173399616).

126134832 is an abundant number, since it is smaller than the sum of its proper divisors (220664400).

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

126134832 is a wasteful number, since it uses less digits than its factorization.

126134832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 126134832 is about 11230.9764490894. The cubic root of 126134832 is about 501.5085532899.

The spelling of 126134832 in words is "one hundred twenty-six million, one hundred thirty-four thousand, eight hundred thirty-two".