137632 has 48 divisors (see below), whose sum is σ = 326592. Its totient is φ = 56320.

The previous prime is 137623. The next prime is 137633. The reversal of 137632 is 236731.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 1 + 3⁴ + 6³ + 7⁶ + 3⁹ + 2 .

It is not an unprimeable number, because it can be changed into a prime (137633) by changing a digit.

137632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5973 + ... + 5995.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

137632 is a Friedman number, since it can be written as 371^2-6-3, using all its digits and the basic arithmetic operations.

2¹³⁷⁶³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296).

137632 is an abundant number, since it is smaller than the sum of its proper divisors (188960).

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

137632 is a wasteful number, since it uses less digits than its factorization.

137632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 53 counting only the distinct ones).

The product of its digits is 756, while the sum is 22.

The square root of 137632 is about 370.9878704217. The cubic root of 137632 is about 51.6305169722.

Subtracting 137632 from its reverse (236731), we obtain a palindrome (99099).

The spelling of 137632 in words is "one hundred thirty-seven thousand, six hundred thirty-two".