126512928 has 60 divisors (see below), whose sum is σ = 372078630. Its totient is φ = 42170112.

The previous prime is 126512927. The next prime is 126512941. The reversal of 126512928 is 829215621.

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 12194064 = 10692^2 + 3492^2 .

It is a super-2 number, since 2×126512928² = 32011041902266368, which contains 22 as substring.

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 = 126512892 and 126512901.

It is not an unprimeable number, because it can be changed into a prime (126512927) 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 9 ways as a sum of consecutive naturals, for example, 21813 + ... + 26996.

Almost surely, 2^126512928 is an apocalyptic number.

126512928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126512928 is an abundant number, since it is smaller than the sum of its proper divisors (245565702).

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

126512928 is an equidigital number, since it uses as much as digits as its factorization.

126512928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48831 (or 48814 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 126512928 is about 11247.7965842204. The cubic root of 126512928 is about 502.0091531270.

The spelling of 126512928 in words is "one hundred twenty-six million, five hundred twelve thousand, nine hundred twenty-eight".