126137130 has 64 divisors (see below), whose sum is σ = 347846400. Its totient is φ = 28675584.

The previous prime is 126137117. The next prime is 126137147. The reversal of 126137130 is 31731621.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126137130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39846 + ... + 42894.

It is an arithmetic number, because the mean of its divisors is an integer number (5435100).

Almost surely, 2^126137130 is an apocalyptic number.

126137130 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 126137130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173923200).

126137130 is an abundant number, since it is smaller than the sum of its proper divisors (221709270).

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

126137130 is a wasteful number, since it uses less digits than its factorization.

126137130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 126137130 is about 11231.0787549549. The cubic root of 126137130 is about 501.5115988659.

Adding to 126137130 its reverse (31731621), we get a palindrome (157868751).

The spelling of 126137130 in words is "one hundred twenty-six million, one hundred thirty-seven thousand, one hundred thirty".