137248901 has 2 divisors, whose sum is σ = 137248902. Its totient is φ = 137248900.

The previous prime is 137248879. The next prime is 137248919. The reversal of 137248901 is 109842731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97495876 + 39753025 = 9874^2 + 6305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137248901 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_7765433 and since 137248901 and 7765433 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137248921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68624450 + 68624451.

It is an arithmetic number, because the mean of its divisors is an integer number (68624451).

Almost surely, 2^137248901 is an apocalyptic number.

It is an amenable number.

137248901 is a deficient number, since it is larger than the sum of its proper divisors (1).

137248901 is an equidigital number, since it uses as much as digits as its factorization.

137248901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 137248901 is about 11715.3276095891. The cubic root of 137248901 is about 515.8256790019.

The spelling of 137248901 in words is "one hundred thirty-seven million, two hundred forty-eight thousand, nine hundred one".