137541 has 12 divisors (see below), whose sum is σ = 195072. Its totient is φ = 86184.

The previous prime is 137537. The next prime is 137567. The reversal of 137541 is 145731.

It is not a de Polignac number, because 137541 - 2² = 137537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (16256).

2¹³⁷⁵⁴¹ is an apocalyptic number.

It is an amenable number.

137541 is a deficient number, since it is larger than the sum of its proper divisors (57531).

137541 is a wasteful number, since it uses less digits than its factorization.

137541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its digits is 420, while the sum is 21.

The square root of 137541 is about 370.8652046229. The cubic root of 137541 is about 51.6191353824.

The spelling of 137541 in words is "one hundred thirty-seven thousand, five hundred forty-one".