137153281 has 2 divisors, whose sum is σ = 137153282. Its totient is φ = 137153280.

The previous prime is 137153239. The next prime is 137153287. The reversal of 137153281 is 182351731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129754881 + 7398400 = 11391^2 + 2720^2 .

It is an emirp because it is prime and its reverse (182351731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137153281 - 2¹⁵ = 137120513 is a prime.

It is a super-2 number, since 2×137153281² = 37622044978129922, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (137153287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68576640 + 68576641.

It is an arithmetic number, because the mean of its divisors is an integer number (68576641).

Almost surely, 2^137153281 is an apocalyptic number.

It is an amenable number.

137153281 is a deficient number, since it is larger than the sum of its proper divisors (1).

137153281 is an equidigital number, since it uses as much as digits as its factorization.

137153281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 31.

The square root of 137153281 is about 11711.2459200548. The cubic root of 137153281 is about 515.7058608956.

The spelling of 137153281 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, two hundred eighty-one".