126925128 has 144 divisors (see below), whose sum is σ = 400540140. Its totient is φ = 36157440.

The previous prime is 126925087. The next prime is 126925147. The reversal of 126925128 is 821529621.

126925128 = 312² + 313² + ... + 743².

It can be written as a sum of positive squares in 2 ways, for example, as 107371044 + 19554084 = 10362^2 + 4422^2 .

It is a super-2 number, since 2×126925128² = 32219976235632768, 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 = 126925092 and 126925101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147676 + ... + 148532.

Almost surely, 2^126925128 is an apocalyptic number.

126925128 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 126925128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200270070).

126925128 is an abundant number, since it is smaller than the sum of its proper divisors (273615012).

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

126925128 is a wasteful number, since it uses less digits than its factorization.

126925128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 890 counting only the distinct ones).

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

The square root of 126925128 is about 11266.1052720095. The cubic root of 126925128 is about 502.5537716275.

The spelling of 126925128 in words is "one hundred twenty-six million, nine hundred twenty-five thousand, one hundred twenty-eight".