126963682739136 has 448 divisors, whose sum is σ = 380634800832000. Its totient is φ = 41492438507520.

The previous prime is 126963682739111. The next prime is 126963682739137. The reversal of 126963682739136 is 631937286369621.

126963682739136 is a `hidden beast` number, since 1 + 2 + 69 + 6 + 368 + 2 + 73 + 9 + 136 = 666.

It is a super-2 number, since 2×126963682739136² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126963682739137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40837464750 + ... + 40837467858.

Almost surely, 2^{126963682739136} is an apocalyptic number.

126963682739136 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 126963682739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190317400416000).

126963682739136 is an abundant number, since it is smaller than the sum of its proper divisors (253671118092864).

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

126963682739136 is a wasteful number, since it uses less digits than its factorization.

126963682739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5361 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 126963682739136 in words is "one hundred twenty-six trillion, nine hundred sixty-three billion, six hundred eighty-two million, seven hundred thirty-nine thousand, one hundred thirty-six".