127540 has 24 divisors (see below), whose sum is σ = 306432. Its totient is φ = 43680.

The previous prime is 127529. The next prime is 127541. The reversal of 127540 is 45721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127541) 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, 316 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (12768).

2¹²⁷⁵⁴⁰ is an apocalyptic number.

127540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127540 is an abundant number, since it is smaller than the sum of its proper divisors (178892).

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

127540 is a wasteful number, since it uses less digits than its factorization.

127540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 127540 is about 357.1274282382. The cubic root of 127540 is about 50.3363983144.

Subtracting from 127540 its product of nonzero digits (280), we obtain a triangular number (127260 = T₅₀₄).

The spelling of 127540 in words is "one hundred twenty-seven thousand, five hundred forty".