126106128 has 60 divisors (see below), whose sum is σ = 358927920. Its totient is φ = 41320128.

The previous prime is 126106117. The next prime is 126106151. The reversal of 126106128 is 821601621.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1075 + ... + 15917.

It is an arithmetic number, because the mean of its divisors is an integer number (5982132).

Almost surely, 2^126106128 is an apocalyptic number.

126106128 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 126106128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179463960).

126106128 is an abundant number, since it is smaller than the sum of its proper divisors (232821792).

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

126106128 is a wasteful number, since it uses less digits than its factorization.

126106128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14916 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 126106128 is about 11229.6984821499. The cubic root of 126106128 is about 501.4705083042.

Adding to 126106128 its reverse (821601621), we get a palindrome (947707749).

The spelling of 126106128 in words is "one hundred twenty-six million, one hundred six thousand, one hundred twenty-eight".