137364121 has 2 divisors, whose sum is σ = 137364122. Its totient is φ = 137364120.

The previous prime is 137364079. The next prime is 137364133. The reversal of 137364121 is 121463731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95942025 + 41422096 = 9795^2 + 6436^2 .

It is a cyclic number.

It is not a de Polignac number, because 137364121 - 2¹⁵ = 137331353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137364121.

It is not a weakly prime, because it can be changed into another prime (137364151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68682060 + 68682061.

It is an arithmetic number, because the mean of its divisors is an integer number (68682061).

Almost surely, 2^137364121 is an apocalyptic number.

It is an amenable number.

137364121 is a deficient number, since it is larger than the sum of its proper divisors (1).

137364121 is an equidigital number, since it uses as much as digits as its factorization.

137364121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

The square root of 137364121 is about 11720.2440674245. The cubic root of 137364121 is about 515.9699832808.

The spelling of 137364121 in words is "one hundred thirty-seven million, three hundred sixty-four thousand, one hundred twenty-one".