126956256 has 144 divisors (see below), whose sum is σ = 392481936. Its totient is φ = 35825664.

The previous prime is 126956231. The next prime is 126956261. The reversal of 126956256 is 652659621.

It is a super-2 number, since 2×126956256² = 32235781875075072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644350 + ... + 644546.

It is an arithmetic number, because the mean of its divisors is an integer number (2725569).

Almost surely, 2^126956256 is an apocalyptic number.

126956256 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 126956256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196240968).

126956256 is an abundant number, since it is smaller than the sum of its proper divisors (265525680).

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

126956256 is a wasteful number, since it uses less digits than its factorization.

126956256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 126956256 is about 11267.4866762735. The cubic root of 126956256 is about 502.5948515287.

The spelling of 126956256 in words is "one hundred twenty-six million, nine hundred fifty-six thousand, two hundred fifty-six".