137224012753 has 2 divisors, whose sum is σ = 137224012754. Its totient is φ = 137224012752.

The previous prime is 137224012669. The next prime is 137224012799. The reversal of 137224012753 is 357210422731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105191246224 + 32032766529 = 324332^2 + 178977^2 .

It is a cyclic number.

It is not a de Polignac number, because 137224012753 - 2⁹ = 137224012241 is a prime.

It is not a weakly prime, because it can be changed into another prime (137224019753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68612006376 + 68612006377.

It is an arithmetic number, because the mean of its divisors is an integer number (68612006377).

Almost surely, 2^137224012753 is an apocalyptic number.

It is an amenable number.

137224012753 is a deficient number, since it is larger than the sum of its proper divisors (1).

137224012753 is an equidigital number, since it uses as much as digits as its factorization.

137224012753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 137224012753 in words is "one hundred thirty-seven billion, two hundred twenty-four million, twelve thousand, seven hundred fifty-three".