137667253 has 2 divisors, whose sum is σ = 137667254. Its totient is φ = 137667252.

The previous prime is 137667251. The next prime is 137667281. The reversal of 137667253 is 352766731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116488849 + 21178404 = 10793^2 + 4602^2 .

It is a cyclic number.

It is not a de Polignac number, because 137667253 - 2¹ = 137667251 is a prime.

Together with 137667251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137667251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68833626 + 68833627.

It is an arithmetic number, because the mean of its divisors is an integer number (68833627).

Almost surely, 2^137667253 is an apocalyptic number.

It is an amenable number.

137667253 is a deficient number, since it is larger than the sum of its proper divisors (1).

137667253 is an equidigital number, since it uses as much as digits as its factorization.

137667253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 158760, while the sum is 40.

The square root of 137667253 is about 11733.1689240375. The cubic root of 137667253 is about 516.3492480187.

The spelling of 137667253 in words is "one hundred thirty-seven million, six hundred sixty-seven thousand, two hundred fifty-three".