137622193 has 2 divisors, whose sum is σ = 137622194. Its totient is φ = 137622192.

The previous prime is 137622169. The next prime is 137622227. The reversal of 137622193 is 391226731.

137622193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (137622227) can be obtained adding 137622193 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135210384 + 2411809 = 11628^2 + 1553^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137622193 is a prime.

It is a super-2 number, since 2×137622193² = 37879736012258498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137622103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68811096 + 68811097.

It is an arithmetic number, because the mean of its divisors is an integer number (68811097).

Almost surely, 2^137622193 is an apocalyptic number.

It is an amenable number.

137622193 is a deficient number, since it is larger than the sum of its proper divisors (1).

137622193 is an equidigital number, since it uses as much as digits as its factorization.

137622193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13608, while the sum is 34.

The square root of 137622193 is about 11731.2485695258. The cubic root of 137622193 is about 516.2929062827.

The spelling of 137622193 in words is "one hundred thirty-seven million, six hundred twenty-two thousand, one hundred ninety-three".