126131328 has 96 divisors (see below), whose sum is σ = 366824640. Its totient is φ = 41596416.

The previous prime is 126131323. The next prime is 126131339. The reversal of 126131328 is 823131621.

It is a happy number.

126131328 is a `hidden beast` number, since 12 + 613 + 1 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126131328² = 31818223806087168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126131323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118125 + ... + 119187.

It is an arithmetic number, because the mean of its divisors is an integer number (3821090).

Almost surely, 2^126131328 is an apocalyptic number.

126131328 is a gapful number since it is divisible by the number (18) 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 126131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183412320).

126131328 is an abundant number, since it is smaller than the sum of its proper divisors (240693312).

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

126131328 is a wasteful number, since it uses less digits than its factorization.

126131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1171 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 126131328 is about 11230.8204508843. The cubic root of 126131328 is about 501.5039093116.

Adding to 126131328 its reverse (823131621), we get a palindrome (949262949).

The spelling of 126131328 in words is "one hundred twenty-six million, one hundred thirty-one thousand, three hundred twenty-eight".