137537213 has 8 divisors (see below), whose sum is σ = 150139200. Its totient is φ = 124951680.

The previous prime is 137537209. The next prime is 137537221. The reversal of 137537213 is 312735731.

137537213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137537213 - 2² = 137537209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137537213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137537233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19088 + ... + 25286.

It is an arithmetic number, because the mean of its divisors is an integer number (18767400).

Almost surely, 2^137537213 is an apocalyptic number.

It is an amenable number.

137537213 is a deficient number, since it is larger than the sum of its proper divisors (12601987).

137537213 is a wasteful number, since it uses less digits than its factorization.

137537213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8227.

The product of its digits is 13230, while the sum is 32.

The square root of 137537213 is about 11727.6260598639. The cubic root of 137537213 is about 516.1866162433.

The spelling of 137537213 in words is "one hundred thirty-seven million, five hundred thirty-seven thousand, two hundred thirteen".