137541949213 has 2 divisors, whose sum is σ = 137541949214. Its totient is φ = 137541949212.

The previous prime is 137541949211. The next prime is 137541949267. The reversal of 137541949213 is 312949145731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134162503524 + 3379445689 = 366282^2 + 58133^2 .

It is a cyclic number.

It is not a de Polignac number, because 137541949213 - 2¹ = 137541949211 is a prime.

It is a super-2 number, since 2×137541949213² (a number of 23 digits) contains 22 as substring.

Together with 137541949211, 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 (137541949211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68770974606 + 68770974607.

It is an arithmetic number, because the mean of its divisors is an integer number (68770974607).

Almost surely, 2^137541949213 is an apocalyptic number.

It is an amenable number.

137541949213 is a deficient number, since it is larger than the sum of its proper divisors (1).

137541949213 is an equidigital number, since it uses as much as digits as its factorization.

137541949213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 49.

The spelling of 137541949213 in words is "one hundred thirty-seven billion, five hundred forty-one million, nine hundred forty-nine thousand, two hundred thirteen".