137568216 has 64 divisors (see below), whose sum is σ = 366444000. Its totient is φ = 42887168.

The previous prime is 137568203. The next prime is 137568217. The reversal of 137568216 is 612865731.

137568216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137568217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69610 + ... + 71558.

Almost surely, 2^137568216 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 137568216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183222000).

137568216 is an abundant number, since it is smaller than the sum of its proper divisors (228875784).

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

137568216 is a wasteful number, since it uses less digits than its factorization.

137568216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 137568216 is about 11728.9477788930. The cubic root of 137568216 is about 516.2253987929.

The spelling of 137568216 in words is "one hundred thirty-seven million, five hundred sixty-eight thousand, two hundred sixteen".