126134611040088 has 1152 divisors, whose sum is σ = 459899703244800. Its totient is φ = 32146842470400.

The previous prime is 126134611040047. The next prime is 126134611040147. The reversal of 126134611040088 is 880040116431621.

126134611040088 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 3 + 461 + 104 + 0 + 0 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2075883628 + ... + 2075944388.

It is an arithmetic number, because the mean of its divisors is an integer number (399218492400).

Almost surely, 2^{126134611040088} is an apocalyptic number.

126134611040088 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 126134611040088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229949851622400).

126134611040088 is an abundant number, since it is smaller than the sum of its proper divisors (333765092204712).

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

126134611040088 is a wasteful number, since it uses less digits than its factorization.

126134611040088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60883 (or 60860 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 126134611040088 in words is "one hundred twenty-six trillion, one hundred thirty-four billion, six hundred eleven million, forty thousand, eighty-eight".