137724213 has 16 divisors (see below), whose sum is σ = 200618496. Its totient is φ = 83347440.

The previous prime is 137724193. The next prime is 137724233. The reversal of 137724213 is 312427731.

It is an interprime number because it is at equal distance from previous prime (137724193) and next prime (137724233).

It is not a de Polignac number, because 137724213 - 2¹⁰ = 137723189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137724233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23320 + ... + 28622.

It is an arithmetic number, because the mean of its divisors is an integer number (12538656).

Almost surely, 2^137724213 is an apocalyptic number.

It is an amenable number.

137724213 is a deficient number, since it is larger than the sum of its proper divisors (62894283).

137724213 is a wasteful number, since it uses less digits than its factorization.

137724213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104.

The product of its digits is 7056, while the sum is 30.

The square root of 137724213 is about 11735.5959797532. The cubic root of 137724213 is about 516.4204515841.

The spelling of 137724213 in words is "one hundred thirty-seven million, seven hundred twenty-four thousand, two hundred thirteen".