126075002130 has 576 divisors, whose sum is σ = 427451012352. Its totient is φ = 25042452480.

The previous prime is 126075002071. The next prime is 126075002147. The reversal of 126075002130 is 31200570621.

It is a happy number.

126075002130 is a `hidden beast` number, since 1 + 2 + 607 + 5 + 0 + 0 + 21 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 126075002094 and 126075002103.

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, 920255422 + ... + 920255558.

It is an arithmetic number, because the mean of its divisors is an integer number (742102452).

Almost surely, 2^126075002130 is an apocalyptic number.

126075002130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126075002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213725506176).

126075002130 is an abundant number, since it is smaller than the sum of its proper divisors (301376010222).

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

126075002130 is a wasteful number, since it uses less digits than its factorization.

126075002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 126075002130 its reverse (31200570621), we get a palindrome (157275572751).

The spelling of 126075002130 in words is "one hundred twenty-six billion, seventy-five million, two thousand, one hundred thirty".