137785213 has 4 divisors (see below), whose sum is σ = 140384988. Its totient is φ = 135185440.

The previous prime is 137785183. The next prime is 137785253. The reversal of 137785213 is 312587731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 312587731 = 41 ⋅7624091.

It can be written as a sum of positive squares in 2 ways, for example, as 114340249 + 23444964 = 10693^2 + 4842^2 .

It is a cyclic number.

It is not a de Polignac number, because 137785213 - 2⁵ = 137785181 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137785253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1299808 + ... + 1299913.

It is an arithmetic number, because the mean of its divisors is an integer number (35096247).

Almost surely, 2^137785213 is an apocalyptic number.

It is an amenable number.

137785213 is a deficient number, since it is larger than the sum of its proper divisors (2599775).

137785213 is an equidigital number, since it uses as much as digits as its factorization.

137785213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599774.

The product of its digits is 35280, while the sum is 37.

The square root of 137785213 is about 11738.1946226837. The cubic root of 137785213 is about 516.4966836355.

The spelling of 137785213 in words is "one hundred thirty-seven million, seven hundred eighty-five thousand, two hundred thirteen".