137547121 has 2 divisors, whose sum is σ = 137547122. Its totient is φ = 137547120.

The previous prime is 137547101. The next prime is 137547133. The reversal of 137547121 is 121745731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133287025 + 4260096 = 11545^2 + 2064^2 .

It is an emirp because it is prime and its reverse (121745731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137547121 - 2⁵ = 137547089 is a prime.

It is not a weakly prime, because it can be changed into another prime (137547101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68773560 + 68773561.

It is an arithmetic number, because the mean of its divisors is an integer number (68773561).

Almost surely, 2^137547121 is an apocalyptic number.

It is an amenable number.

137547121 is a deficient number, since it is larger than the sum of its proper divisors (1).

137547121 is an equidigital number, since it uses as much as digits as its factorization.

137547121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 31.

The square root of 137547121 is about 11728.0484736379. The cubic root of 137547121 is about 516.1990110807.

The spelling of 137547121 in words is "one hundred thirty-seven million, five hundred forty-seven thousand, one hundred twenty-one".