126462136544 has 48 divisors (see below), whose sum is σ = 253906990848. Its totient is φ = 61980052992.

The previous prime is 126462136531. The next prime is 126462136561. The reversal of 126462136544 is 445631264621.

126462136544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 126462136495 and 126462136504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1809254 + ... + 1877850.

It is an arithmetic number, because the mean of its divisors is an integer number (5289728976).

Almost surely, 2^126462136544 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 126462136544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126953495424).

126462136544 is an abundant number, since it is smaller than the sum of its proper divisors (127444854304).

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

126462136544 is a wasteful number, since it uses less digits than its factorization.

126462136544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69747 (or 69739 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The spelling of 126462136544 in words is "one hundred twenty-six billion, four hundred sixty-two million, one hundred thirty-six thousand, five hundred forty-four".