126332767 has 32 divisors (see below), whose sum is σ = 155312640. Its totient is φ = 101376000.

The previous prime is 126332743. The next prime is 126332783. The reversal of 126332767 is 767233621.

It is not a de Polignac number, because 126332767 - 2⁷ = 126332639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126332707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196767 + ... + 197407.

It is an arithmetic number, because the mean of its divisors is an integer number (4853520).

Almost surely, 2^126332767 is an apocalyptic number.

126332767 is a deficient number, since it is larger than the sum of its proper divisors (28979873).

126332767 is a wasteful number, since it uses less digits than its factorization.

126332767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its digits is 63504, while the sum is 37.

The square root of 126332767 is about 11239.7850068407. The cubic root of 126332767 is about 501.7707441937.

It can be divided in two parts, 12633 and 2767, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 126332767 in words is "one hundred twenty-six million, three hundred thirty-two thousand, seven hundred sixty-seven".