126137120 has 24 divisors (see below), whose sum is σ = 297999324. Its totient is φ = 50454784.

The previous prime is 126137117. The next prime is 126137147. The reversal of 126137120 is 21731621.

It can be written as a sum of positive squares in 2 ways, for example, as 120736144 + 5400976 = 10988^2 + 2324^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 394019 + ... + 394338.

Almost surely, 2^126137120 is an apocalyptic number.

126137120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126137120 is an abundant number, since it is smaller than the sum of its proper divisors (171862204).

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

126137120 is an equidigital number, since it uses as much as digits as its factorization.

126137120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788372 (or 788364 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 126137120 is about 11231.0783097617. The cubic root of 126137120 is about 501.5115856128.

Adding to 126137120 its reverse (21731621), we get a palindrome (147868741).

The spelling of 126137120 in words is "one hundred twenty-six million, one hundred thirty-seven thousand, one hundred twenty".