137203133 has 2 divisors, whose sum is σ = 137203134. Its totient is φ = 137203132.

The previous prime is 137203111. The next prime is 137203139. The reversal of 137203133 is 331302731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127735204 + 9467929 = 11302^2 + 3077^2 .

It is an emirp because it is prime and its reverse (331302731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137203133 - 2¹² = 137199037 is a prime.

It is a super-3 number, since 3×137203133³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137203099 and 137203108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137203139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68601566 + 68601567.

It is an arithmetic number, because the mean of its divisors is an integer number (68601567).

Almost surely, 2^137203133 is an apocalyptic number.

It is an amenable number.

137203133 is a deficient number, since it is larger than the sum of its proper divisors (1).

137203133 is an equidigital number, since it uses as much as digits as its factorization.

137203133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 137203133 is about 11713.3741082576. The cubic root of 137203133 is about 515.7683356542.

Adding to 137203133 its reverse (331302731), we get a palindrome (468505864).

The spelling of 137203133 in words is "one hundred thirty-seven million, two hundred three thousand, one hundred thirty-three".