137355157 has 2 divisors, whose sum is σ = 137355158. Its totient is φ = 137355156.

The previous prime is 137355133. The next prime is 137355181. The reversal of 137355157 is 751553731.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (137355133) and next prime (137355181).

It can be written as a sum of positive squares in only one way, i.e., 130667761 + 6687396 = 11431^2 + 2586^2 .

It is a cyclic number.

It is not a de Polignac number, because 137355157 - 2²³ = 128966549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137355457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68677578 + 68677579.

It is an arithmetic number, because the mean of its divisors is an integer number (68677579).

Almost surely, 2^137355157 is an apocalyptic number.

It is an amenable number.

137355157 is a deficient number, since it is larger than the sum of its proper divisors (1).

137355157 is an equidigital number, since it uses as much as digits as its factorization.

137355157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55125, while the sum is 37.

The square root of 137355157 is about 11719.8616459410. The cubic root of 137355157 is about 515.9587594486.

The spelling of 137355157 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, one hundred fifty-seven".