137757461 has 2 divisors, whose sum is σ = 137757462. Its totient is φ = 137757460.

The previous prime is 137757457. The next prime is 137757463. The reversal of 137757461 is 164757731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137334961 + 422500 = 11719^2 + 650^2 .

It is a cyclic number.

It is not a de Polignac number, because 137757461 - 2² = 137757457 is a prime.

It is a super-2 number, since 2×137757461² = 37954236122333042, which contains 22 as substring.

Together with 137757463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137757463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68878730 + 68878731.

It is an arithmetic number, because the mean of its divisors is an integer number (68878731).

Almost surely, 2^137757461 is an apocalyptic number.

It is an amenable number.

137757461 is a deficient number, since it is larger than the sum of its proper divisors (1).

137757461 is an equidigital number, since it uses as much as digits as its factorization.

137757461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 123480, while the sum is 41.

The square root of 137757461 is about 11737.0124392879. The cubic root of 137757461 is about 516.4620045915.

The spelling of 137757461 in words is "one hundred thirty-seven million, seven hundred fifty-seven thousand, four hundred sixty-one".