127738 has 16 divisors (see below), whose sum is σ = 219240. Its totient is φ = 55488.

The previous prime is 127733. The next prime is 127739. The reversal of 127738 is 837721.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94249 + 33489 = 307^2 + 183^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127733) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7506 + ... + 7522.

2¹²⁷⁷³⁸ is an apocalyptic number.

127738 is a deficient number, since it is larger than the sum of its proper divisors (91502).

127738 is an equidigital number, since it uses as much as digits as its factorization.

127738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 32 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 127738 is about 357.4045327077. The cubic root of 127738 is about 50.3624331629.

It can be divided in two parts, 12 and 7738, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 127738 in words is "one hundred twenty-seven thousand, seven hundred thirty-eight".