137532 has 24 divisors (see below), whose sum is σ = 327376. Its totient is φ = 44928.

The previous prime is 137519. The next prime is 137537. The reversal of 137532 is 235731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137499 and 137508.

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 7 ways as a sum of consecutive naturals, for example, 798 + ... + 954.

2¹³⁷⁵³² is an apocalyptic number.

137532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137532 is an abundant number, since it is smaller than the sum of its proper divisors (189844).

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

137532 is a wasteful number, since it uses less digits than its factorization.

137532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 137532 is about 370.8530706358. The cubic root of 137532 is about 51.6180094578.

The spelling of 137532 in words is "one hundred thirty-seven thousand, five hundred thirty-two".