126536256 has 280 divisors, whose sum is σ = 469123776. Its totient is φ = 32762880.

The previous prime is 126536243. The next prime is 126536269. The reversal of 126536256 is 652635621.

It is a happy number.

126536256 is a `hidden beast` number, since 1 + 26 + 5 + 3 + 625 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (126536243) and next prime (126536269).

It is a super-2 number, since 2×126536256² = 32022848164995072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 126536256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399010 + ... + 399326.

Almost surely, 2^126536256 is an apocalyptic number.

126536256 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 126536256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234561888).

126536256 is an abundant number, since it is smaller than the sum of its proper divisors (342587520).

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

126536256 is a wasteful number, since it uses less digits than its factorization.

126536256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 340 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 126536256 is about 11248.8335395276. The cubic root of 126536256 is about 502.0400067585.

The spelling of 126536256 in words is "one hundred twenty-six million, five hundred thirty-six thousand, two hundred fifty-six".