137820213 has 6 divisors (see below), whose sum is σ = 199073654. Its totient is φ = 91880136.

The previous prime is 137820211. The next prime is 137820217. The reversal of 137820213 is 312028731.

137820213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 105637284 + 32182929 = 10278^2 + 5673^2 .

It is not a de Polignac number, because 137820213 - 2¹ = 137820211 is a prime.

It is a super-2 number, since 2×137820213² = 37988822222730738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137820211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7656670 + ... + 7656687.

Almost surely, 2^137820213 is an apocalyptic number.

It is an amenable number.

137820213 is a deficient number, since it is larger than the sum of its proper divisors (61253441).

137820213 is a wasteful number, since it uses less digits than its factorization.

137820213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15313363 (or 15313360 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137820213 is about 11739.6853876073. The cubic root of 137820213 is about 516.5404131792.

Adding to 137820213 its reverse (312028731), we get a palindrome (449848944).

The spelling of 137820213 in words is "one hundred thirty-seven million, eight hundred twenty thousand, two hundred thirteen".