126130097376 has 240 divisors, whose sum is σ = 375646925808. Its totient is φ = 41513472000.

The previous prime is 126130097339. The next prime is 126130097377. The reversal of 126130097376 is 673790031621.

It is a super-3 number, since 3×126130097376³ (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 (126130097377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96947926 + ... + 96949226.

Almost surely, 2^126130097376 is an apocalyptic number.

126130097376 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 126130097376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187823462904).

126130097376 is an abundant number, since it is smaller than the sum of its proper divisors (249516828432).

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

126130097376 is a wasteful number, since it uses less digits than its factorization.

126130097376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 126130097376 in words is "one hundred twenty-six billion, one hundred thirty million, ninety-seven thousand, three hundred seventy-six".