126318528 has 210 divisors, whose sum is σ = 435316376. Its totient is φ = 35479296.

The previous prime is 126318473. The next prime is 126318539. The reversal of 126318528 is 825813621.

It is a happy number.

126318528 is a `hidden beast` number, since 12 + 631 + 8 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126318492 and 126318501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2140963 + ... + 2141021.

Almost surely, 2^126318528 is an apocalyptic number.

126318528 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 126318528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217658188).

126318528 is an abundant number, since it is smaller than the sum of its proper divisors (308997848).

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

126318528 is an frugal number, since it uses more digits than its factorization.

126318528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 71 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 126318528 is about 11239.1515694024. The cubic root of 126318528 is about 501.7518919137.

It can be divided in two parts, 1263 and 18528, that added together give a palindrome (19791).

The spelling of 126318528 in words is "one hundred twenty-six million, three hundred eighteen thousand, five hundred twenty-eight".