126241128 has 48 divisors (see below), whose sum is σ = 368206020. Its totient is φ = 38843136.

The previous prime is 126241127. The next prime is 126241139. The reversal of 126241128 is 821142621.

126241128 is a `hidden beast` number, since 1 + 2 + 624 + 11 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118853604 + 7387524 = 10902^2 + 2718^2 .

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

It is not an unprimeable number, because it can be changed into a prime (126241121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66501 + ... + 68372.

Almost surely, 2^126241128 is an apocalyptic number.

126241128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126241128 is an abundant number, since it is smaller than the sum of its proper divisors (241964892).

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

126241128 is a wasteful number, since it uses less digits than its factorization.

126241128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134898 (or 134891 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 126241128 is about 11235.7077213676. The cubic root of 126241128 is about 501.6493903733.

Adding to 126241128 its reverse (821142621), we get a palindrome (947383749).

The spelling of 126241128 in words is "one hundred twenty-six million, two hundred forty-one thousand, one hundred twenty-eight".