137216 has 24 divisors (see below), whose sum is σ = 278460. Its totient is φ = 67584.

The previous prime is 137209. The next prime is 137219. The reversal of 137216 is 612731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137219) by changing a digit.

137216 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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2015 + ... + 2081.

137216 is a Friedman number, since it can be written as (73-6)*2^11, using all its digits and the basic arithmetic operations.

2¹³⁷²¹⁶ is an apocalyptic number.

137216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230).

137216 is an abundant number, since it is smaller than the sum of its proper divisors (141244).

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

137216 is an frugal number, since it uses more digits than its factorization.

137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 69 counting only the distinct ones).

The product of its digits is 252, while the sum is 20.

The square root of 137216 is about 370.4267808893. The cubic root of 137216 is about 51.5784458181.

Adding to 137216 its reverse (612731), we get a palindrome (749947).

It can be divided in two parts, 1372 and 16, that multiplied together give a cube (21952 = 28³).

The spelling of 137216 in words is "one hundred thirty-seven thousand, two hundred sixteen".