126537 has 4 divisors (see below), whose sum is σ = 168720. Its totient is φ = 84356.

The previous prime is 126517. The next prime is 126541. The reversal of 126537 is 735621.

126537 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 126537 - 2⁶ = 126473 is a prime.

It is a super-2 number, since 2×126537² = 32023224738, which contains 22 as substring.

It is an Ulam number.

It is a D-number.

126537 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126537.

It is not an unprimeable number, because it can be changed into a prime (126517) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21087 + ... + 21092.

It is an arithmetic number, because the mean of its divisors is an integer number (42180).

2¹²⁶⁵³⁷ is an apocalyptic number.

It is an amenable number.

126537 is a deficient number, since it is larger than the sum of its proper divisors (42183).

126537 is an equidigital number, since it uses as much as digits as its factorization.

126537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42182.

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

The square root of 126537 is about 355.7203958167. The cubic root of 126537 is about 50.2040990711.

The spelling of 126537 in words is "one hundred twenty-six thousand, five hundred thirty-seven".