126123153 has 32 divisors (see below), whose sum is σ = 192995712. Its totient is φ = 72576000.

The previous prime is 126123139. The next prime is 126123161. The reversal of 126123153 is 351321621.

It is not a de Polignac number, because 126123153 - 2⁸ = 126122897 is a prime.

It is a super-2 number, since 2×126123153² = 31814099445322818, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126123103) by changing a digit.

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, 119478 + ... + 120528.

It is an arithmetic number, because the mean of its divisors is an integer number (6031116).

Almost surely, 2^126123153 is an apocalyptic number.

126123153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

126123153 is a deficient number, since it is larger than the sum of its proper divisors (66872559).

126123153 is a wasteful number, since it uses less digits than its factorization.

126123153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265.

The product of its digits is 1080, while the sum is 24.

The square root of 126123153 is about 11230.4564911672. The cubic root of 126123153 is about 501.4930743533.

Adding to 126123153 its reverse (351321621), we get a palindrome (477444774).

It can be divided in two parts, 12612 and 3153, that multiplied together give a square (39765636 = 6306²).

The spelling of 126123153 in words is "one hundred twenty-six million, one hundred twenty-three thousand, one hundred fifty-three".