126734237568 has 192 divisors, whose sum is σ = 377423251920. Its totient is φ = 40787435520.

The previous prime is 126734237561. The next prime is 126734237579. The reversal of 126734237568 is 865732437621.

It is a happy number.

126734237568 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 3 + 42 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×126734237568³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126734237561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5572396 + ... + 5595092.

Almost surely, 2^126734237568 is an apocalyptic number.

126734237568 is a gapful number since it is divisible by the number (18) 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 126734237568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188711625960).

126734237568 is an abundant number, since it is smaller than the sum of its proper divisors (250689014352).

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

126734237568 is a wasteful number, since it uses less digits than its factorization.

126734237568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22885 (or 22870 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 126734237568 in words is "one hundred twenty-six billion, seven hundred thirty-four million, two hundred thirty-seven thousand, five hundred sixty-eight".