137055973 has 2 divisors, whose sum is σ = 137055974. Its totient is φ = 137055972.

The previous prime is 137055917. The next prime is 137055983. The reversal of 137055973 is 379550731.

137055973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82029249 + 55026724 = 9057^2 + 7418^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137055973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137055983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68527986 + 68527987.

It is an arithmetic number, because the mean of its divisors is an integer number (68527987).

Almost surely, 2^137055973 is an apocalyptic number.

It is an amenable number.

137055973 is a deficient number, since it is larger than the sum of its proper divisors (1).

137055973 is an equidigital number, since it uses as much as digits as its factorization.

137055973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 99225, while the sum is 40.

The square root of 137055973 is about 11707.0907146054. The cubic root of 137055973 is about 515.5838704285.

The spelling of 137055973 in words is "one hundred thirty-seven million, fifty-five thousand, nine hundred seventy-three".