126529128 has 192 divisors, whose sum is σ = 398099520. Its totient is φ = 37324800.

The previous prime is 126529121. The next prime is 126529163. The reversal of 126529128 is 821925621.

126529128 is a `hidden beast` number, since 1 + 2 + 6 + 529 + 128 = 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 = 126529092 and 126529101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126529121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1304376 + ... + 1304472.

It is an arithmetic number, because the mean of its divisors is an integer number (2073435).

Almost surely, 2^126529128 is an apocalyptic number.

126529128 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 126529128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199049760).

126529128 is an abundant number, since it is smaller than the sum of its proper divisors (271570392).

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

126529128 is a wasteful number, since it uses less digits than its factorization.

126529128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

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

The square root of 126529128 is about 11248.5167022146. The cubic root of 126529128 is about 502.0305796623.

The spelling of 126529128 in words is "one hundred twenty-six million, five hundred twenty-nine thousand, one hundred twenty-eight".