137533 has 4 divisors (see below), whose sum is σ = 150048. Its totient is φ = 125020.

The previous prime is 137519. The next prime is 137537. The reversal of 137533 is 335731.

137533 is digitally balanced in base 2, 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 137533 - 2¹³ = 129341 is a prime.

It is a Duffinian number.

137533 is a lucky number.

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 3 ways as a sum of consecutive naturals, for example, 6241 + ... + 6262.

It is an arithmetic number, because the mean of its divisors is an integer number (37512).

2¹³⁷⁵³³ is an apocalyptic number.

It is an amenable number.

137533 is a deficient number, since it is larger than the sum of its proper divisors (12515).

137533 is a wasteful number, since it uses less digits than its factorization.

137533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12514.

The product of its digits is 945, while the sum is 22.

The square root of 137533 is about 370.8544188762. The cubic root of 137533 is about 51.6181345630.

The spelling of 137533 in words is "one hundred thirty-seven thousand, five hundred thirty-three".