126538956 has 96 divisors (see below), whose sum is σ = 356045760. Its totient is φ = 38730240.

The previous prime is 126538933. The next prime is 126538957. The reversal of 126538956 is 659835621.

126538956 is a `hidden beast` number, since 1 + 26 + 538 + 95 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (126538957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086296 + ... + 3086336.

It is an arithmetic number, because the mean of its divisors is an integer number (3708810).

Almost surely, 2^126538956 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 126538956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178022880).

126538956 is an abundant number, since it is smaller than the sum of its proper divisors (229506804).

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

126538956 is an equidigital number, since it uses as much as digits as its factorization.

126538956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 63 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 126538956 is about 11248.9535513309. The cubic root of 126538956 is about 502.0435775358.

It can be divided in two parts, 12653 and 8956, that added together give a square (21609 = 147²).

The spelling of 126538956 in words is "one hundred twenty-six million, five hundred thirty-eight thousand, nine hundred fifty-six".