126256536 has 192 divisors, whose sum is σ = 415872000. Its totient is φ = 35380800.

The previous prime is 126256489. The next prime is 126256541. The reversal of 126256536 is 635652621.

It is a happy number.

126256536 is a `hidden beast` number, since 1 + 2 + 62 + 565 + 36 = 666.

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 126256536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836061 + ... + 836211.

It is an arithmetic number, because the mean of its divisors is an integer number (2166000).

Almost surely, 2^126256536 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 126256536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207936000).

126256536 is an abundant number, since it is smaller than the sum of its proper divisors (289615464).

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

126256536 is a wasteful number, since it uses less digits than its factorization.

126256536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

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

The square root of 126256536 is about 11236.3933715405. The cubic root of 126256536 is about 501.6697986704.

The spelling of 126256536 in words is "one hundred twenty-six million, two hundred fifty-six thousand, five hundred thirty-six".