137210216 has 128 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 53913600.

The previous prime is 137210201. The next prime is 137210219. The reversal of 137210216 is 612012731.

It is a junction number, because it is equal to n+sod(n) for n = 137210191 and 137210200.

It is not an unprimeable number, because it can be changed into a prime (137210219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1879556 + ... + 1879628.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2^137210216 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 137210216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

137210216 is an abundant number, since it is smaller than the sum of its proper divisors (185027224).

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

137210216 is a wasteful number, since it uses less digits than its factorization.

137210216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 137210216 is about 11713.6764510550. The cubic root of 137210216 is about 515.7772108749. Note that the first 3 decimals are identical.

Adding to 137210216 its reverse (612012731), we get a palindrome (749222947).

The spelling of 137210216 in words is "one hundred thirty-seven million, two hundred ten thousand, two hundred sixteen".