137753 has 8 divisors (see below), whose sum is σ = 171840. Its totient is φ = 107280.

The previous prime is 137743. The next prime is 137771. The reversal of 137753 is 357731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137753 - 2⁴ = 137737 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137713) 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 7 ways as a sum of consecutive naturals, for example, 818 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (21480).

2¹³⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

137753 is a deficient number, since it is larger than the sum of its proper divisors (34087).

137753 is a wasteful number, since it uses less digits than its factorization.

137753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807.

The product of its digits is 2205, while the sum is 26.

The square root of 137753 is about 371.1509127026. The cubic root of 137753 is about 51.6456429668.

The spelling of 137753 in words is "one hundred thirty-seven thousand, seven hundred fifty-three".