126542651256 has 192 divisors, whose sum is σ = 415306008000. Its totient is φ = 33980166144.

The previous prime is 126542651231. The next prime is 126542651357. The reversal of 126542651256 is 652156245621.

126542651256 is a `hidden beast` number, since 1 + 2 + 6 + 542 + 6 + 51 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6270270 + ... + 6290418.

It is an arithmetic number, because the mean of its divisors is an integer number (2163052125).

Almost surely, 2^126542651256 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 126542651256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207653004000).

126542651256 is an abundant number, since it is smaller than the sum of its proper divisors (288763356744).

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

126542651256 is a wasteful number, since it uses less digits than its factorization.

126542651256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20918 (or 20911 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

Adding to 126542651256 its reverse (652156245621), we get a palindrome (778698896877).

The spelling of 126542651256 in words is "one hundred twenty-six billion, five hundred forty-two million, six hundred fifty-one thousand, two hundred fifty-six".