137842193 has 2 divisors, whose sum is σ = 137842194. Its totient is φ = 137842192.

The previous prime is 137842181. The next prime is 137842247. The reversal of 137842193 is 391248731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127396369 + 10445824 = 11287^2 + 3232^2 .

It is a cyclic number.

It is not a de Polignac number, because 137842193 - 2⁶ = 137842129 is a prime.

It is a Chen prime.

It is equal to p_7797134 and since 137842193 and 7797134 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (137542193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68921096 + 68921097.

It is an arithmetic number, because the mean of its divisors is an integer number (68921097).

Almost surely, 2^137842193 is an apocalyptic number.

It is an amenable number.

137842193 is a deficient number, since it is larger than the sum of its proper divisors (1).

137842193 is an equidigital number, since it uses as much as digits as its factorization.

137842193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 137842193 is about 11740.6214912159. The cubic root of 137842193 is about 516.5678715482.

The spelling of 137842193 in words is "one hundred thirty-seven million, eight hundred forty-two thousand, one hundred ninety-three".