137485357 has 2 divisors, whose sum is σ = 137485358. Its totient is φ = 137485356.

The previous prime is 137485351. The next prime is 137485363. The reversal of 137485357 is 753584731.

It is a balanced prime because it is at equal distance from previous prime (137485351) and next prime (137485363).

It can be written as a sum of positive squares in only one way, i.e., 104468841 + 33016516 = 10221^2 + 5746^2 .

It is an emirp because it is prime and its reverse (753584731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137485357 - 2²³ = 129096749 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137485351) 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, 68742678 + 68742679.

It is an arithmetic number, because the mean of its divisors is an integer number (68742679).

Almost surely, 2^137485357 is an apocalyptic number.

It is an amenable number.

137485357 is a deficient number, since it is larger than the sum of its proper divisors (1).

137485357 is an equidigital number, since it uses as much as digits as its factorization.

137485357 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 352800, while the sum is 43.

The square root of 137485357 is about 11725.4150033165. The cubic root of 137485357 is about 516.1217350441.

The spelling of 137485357 in words is "one hundred thirty-seven million, four hundred eighty-five thousand, three hundred fifty-seven".