137121353 has 2 divisors, whose sum is σ = 137121354. Its totient is φ = 137121352.

The previous prime is 137121323. The next prime is 137121379. The reversal of 137121353 is 353121731.

It is an a-pointer prime, because the next prime (137121379) can be obtained adding 137121353 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96569929 + 40551424 = 9827^2 + 6368^2 .

It is a cyclic number.

It is not a de Polignac number, because 137121353 - 2²⁶ = 70012489 is a prime.

It is a super-3 number, since 3×137121353³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (137121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68560676 + 68560677.

It is an arithmetic number, because the mean of its divisors is an integer number (68560677).

Almost surely, 2^137121353 is an apocalyptic number.

It is an amenable number.

137121353 is a deficient number, since it is larger than the sum of its proper divisors (1).

137121353 is an equidigital number, since it uses as much as digits as its factorization.

137121353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 26.

The square root of 137121353 is about 11709.8827065005. The cubic root of 137121353 is about 515.6658406243.

The spelling of 137121353 in words is "one hundred thirty-seven million, one hundred twenty-one thousand, three hundred fifty-three".