126742656 has 64 divisors (see below), whose sum is σ = 338313600. Its totient is φ = 42040320.

The previous prime is 126742643. The next prime is 126742657. The reversal of 126742656 is 656247621.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (126742657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91086 + ... + 92466.

It is an arithmetic number, because the mean of its divisors is an integer number (5286150).

Almost surely, 2^126742656 is an apocalyptic number.

126742656 is a gapful number since it is divisible by the number (16) 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 126742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169156800).

126742656 is an abundant number, since it is smaller than the sum of its proper divisors (211570944).

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

126742656 is a wasteful number, since it uses less digits than its factorization.

126742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1625 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 126742656 is about 11258.0040859826. The cubic root of 126742656 is about 502.3128265049.

The spelling of 126742656 in words is "one hundred twenty-six million, seven hundred forty-two thousand, six hundred fifty-six".