137535 has 16 divisors (see below), whose sum is σ = 225504. Its totient is φ = 71552.

The previous prime is 137519. The next prime is 137537. The reversal of 137535 is 535731.

It is a cyclic number.

It is not a de Polignac number, because 137535 - 2⁴ = 137519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709 + ... + 881.

It is an arithmetic number, because the mean of its divisors is an integer number (14094).

2¹³⁷⁵³⁵ is an apocalyptic number.

137535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137535 is a deficient number, since it is larger than the sum of its proper divisors (87969).

137535 is a wasteful number, since it uses less digits than its factorization.

137535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234.

The product of its digits is 1575, while the sum is 24.

The square root of 137535 is about 370.8571153423. The cubic root of 137535 is about 51.6183847715.

The spelling of 137535 in words is "one hundred thirty-seven thousand, five hundred thirty-five".