137833133 has 2 divisors, whose sum is σ = 137833134. Its totient is φ = 137833132.

The previous prime is 137833123. The next prime is 137833139. The reversal of 137833133 is 331338731.

137833133 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., 93450889 + 44382244 = 9667^2 + 6662^2 .

It is a cyclic number.

It is not a de Polignac number, because 137833133 - 2¹⁰ = 137832109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137833133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137833139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68916566 + 68916567.

It is an arithmetic number, because the mean of its divisors is an integer number (68916567).

Almost surely, 2^137833133 is an apocalyptic number.

It is an amenable number.

137833133 is a deficient number, since it is larger than the sum of its proper divisors (1).

137833133 is an equidigital number, since it uses as much as digits as its factorization.

137833133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13608, while the sum is 32.

The square root of 137833133 is about 11740.2356449945. The cubic root of 137833133 is about 516.5565537570.

The spelling of 137833133 in words is "one hundred thirty-seven million, eight hundred thirty-three thousand, one hundred thirty-three".