126938133 has 96 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 63866880.

The previous prime is 126938101. The next prime is 126938143. The reversal of 126938133 is 331839621.

It is not a de Polignac number, because 126938133 - 2⁵ = 126938101 is a prime.

It is a super-2 number, since 2×126938133² = 32226579219051378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126938143) 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 95 ways as a sum of consecutive naturals, for example, 1894566 + ... + 1894632.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^126938133 is an apocalyptic number.

It is an amenable number.

126938133 is a deficient number, since it is larger than the sum of its proper divisors (109832427).

126938133 is a wasteful number, since it uses less digits than its factorization.

126938133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 126938133 is about 11266.6824309554. The cubic root of 126938133 is about 502.5709352596.

The spelling of 126938133 in words is "one hundred twenty-six million, nine hundred thirty-eight thousand, one hundred thirty-three".