126134424 has 96 divisors (see below), whose sum is σ = 389581920. Its totient is φ = 36523008.

The previous prime is 126134419. The next prime is 126134429. The reversal of 126134424 is 424431621.

It is a happy number.

126134424 is a `hidden beast` number, since 1 + 2 + 613 + 4 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (126134419) and next prime (126134429).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126134429) 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 23 ways as a sum of consecutive naturals, for example, 11949 + ... + 19875.

It is an arithmetic number, because the mean of its divisors is an integer number (4058145).

Almost surely, 2^126134424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194790960).

126134424 is an abundant number, since it is smaller than the sum of its proper divisors (263447496).

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

126134424 is a wasteful number, since it uses less digits than its factorization.

126134424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7969 (or 7962 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 126134424 is about 11230.9582850263. The cubic root of 126134424 is about 501.5080125571.

The spelling of 126134424 in words is "one hundred twenty-six million, one hundred thirty-four thousand, four hundred twenty-four".