137251409 has 2 divisors, whose sum is σ = 137251410. Its totient is φ = 137251408.

The previous prime is 137251391. The next prime is 137251427. The reversal of 137251409 is 904152731.

It is a balanced prime because it is at equal distance from previous prime (137251391) and next prime (137251427).

It can be written as a sum of positive squares in only one way, i.e., 120670225 + 16581184 = 10985^2 + 4072^2 .

It is an emirp because it is prime and its reverse (904152731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137251409 is a prime.

It is not a weakly prime, because it can be changed into another prime (137251469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68625704 + 68625705.

It is an arithmetic number, because the mean of its divisors is an integer number (68625705).

Almost surely, 2^137251409 is an apocalyptic number.

It is an amenable number.

137251409 is a deficient number, since it is larger than the sum of its proper divisors (1).

137251409 is an equidigital number, since it uses as much as digits as its factorization.

137251409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 137251409 is about 11715.4346483603. The cubic root of 137251409 is about 515.8288209406.

The spelling of 137251409 in words is "one hundred thirty-seven million, two hundred fifty-one thousand, four hundred nine".