126137820089088 has 216 divisors, whose sum is σ = 376335809806320. Its totient is φ = 40584376197120.

The previous prime is 126137820088979. The next prime is 126137820089107. The reversal of 126137820089088 is 880980028731621.

126137820089088 is a `hidden beast` number, since 1 + 2 + 613 + 7 + 8 + 2 + 0 + 0 + 8 + 9 + 0 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232984270 + ... + 233525042.

It is an arithmetic number, because the mean of its divisors is an integer number (1742295415770).

Almost surely, 2^{126137820089088} is an apocalyptic number.

126137820089088 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 126137820089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188167904903160).

126137820089088 is an abundant number, since it is smaller than the sum of its proper divisors (250197989717232).

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

126137820089088 is a wasteful number, since it uses less digits than its factorization.

126137820089088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544315 (or 544298 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 126137820089088 in words is "one hundred twenty-six trillion, one hundred thirty-seven billion, eight hundred twenty million, eighty-nine thousand, eighty-eight".