127536 has 20 divisors (see below), whose sum is σ = 329592. Its totient is φ = 42496.

The previous prime is 127529. The next prime is 127541. The reversal of 127536 is 635721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281 + ... + 1376.

2¹²⁷⁵³⁶ is an apocalyptic number.

127536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

127536 is an abundant number, since it is smaller than the sum of its proper divisors (202056).

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

127536 is a wasteful number, since it uses less digits than its factorization.

127536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 127536 is about 357.1218279523. The cubic root of 127536 is about 50.3358720803.

The spelling of 127536 in words is "one hundred twenty-seven thousand, five hundred thirty-six".