137293 has 8 divisors (see below), whose sum is σ = 151200. Its totient is φ = 123888.

The previous prime is 137279. The next prime is 137303. The reversal of 137293 is 392731.

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 137293 - 2¹⁷ = 6221 is a prime.

It is a Duffinian number.

137293 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137273) 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, 678 + ... + 856.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2¹³⁷²⁹³ is an apocalyptic number.

137293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137293 is a deficient number, since it is larger than the sum of its proper divisors (13907).

137293 is a wasteful number, since it uses less digits than its factorization.

137293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251.

The product of its digits is 1134, while the sum is 25.

The square root of 137293 is about 370.5307004824. The cubic root of 137293 is about 51.5880919179.

The spelling of 137293 in words is "one hundred thirty-seven thousand, two hundred ninety-three".