137332 has 24 divisors (see below), whose sum is σ = 274400. Its totient is φ = 59616.

The previous prime is 137321. The next prime is 137339. The reversal of 137332 is 233731.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137339) by changing a digit.

137332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 919 + ... + 1057.

2¹³⁷³³² is an apocalyptic number.

It is an amenable number.

137332 is a deficient number, since it is larger than the sum of its proper divisors (137068).

137332 is a wasteful number, since it uses less digits than its factorization.

137332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 173 counting only the distinct ones).

The product of its digits is 378, while the sum is 19.

The square root of 137332 is about 370.5833239637. The cubic root of 137332 is about 51.5929762288.

The spelling of 137332 in words is "one hundred thirty-seven thousand, three hundred thirty-two".