126436128 has 192 divisors, whose sum is σ = 419634432. Its totient is φ = 32440320.

The previous prime is 126436099. The next prime is 126436133. The reversal of 126436128 is 821634621.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358000 + ... + 358352.

It is an arithmetic number, because the mean of its divisors is an integer number (2185596).

Almost surely, 2^126436128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209817216).

126436128 is an abundant number, since it is smaller than the sum of its proper divisors (293198304).

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

126436128 is a wasteful number, since it uses less digits than its factorization.

126436128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 126436128 is about 11244.3820639464. The cubic root of 126436128 is about 501.9075505801.

The spelling of 126436128 in words is "one hundred twenty-six million, four hundred thirty-six thousand, one hundred twenty-eight".