137322 has 16 divisors (see below), whose sum is σ = 305280. Its totient is φ = 45756.

The previous prime is 137321. The next prime is 137339. The reversal of 137322 is 223731.

137322 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 137295 and 137304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137321) 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, 1218 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2¹³⁷³²² is an apocalyptic number.

137322 is an abundant number, since it is smaller than the sum of its proper divisors (167958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137322 is a wasteful number, since it uses less digits than its factorization.

137322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2548 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 137322 is about 370.5698314758. The cubic root of 137322 is about 51.5917239296.

The spelling of 137322 in words is "one hundred thirty-seven thousand, three hundred twenty-two".