137264033 has 2 divisors, whose sum is σ = 137264034. Its totient is φ = 137264032.

The previous prime is 137263991. The next prime is 137264051. The reversal of 137264033 is 330462731.

It is a happy number.

137264033 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., 131148304 + 6115729 = 11452^2 + 2473^2 .

It is a cyclic number.

It is not a de Polignac number, because 137264033 - 2¹² = 137259937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137263987 and 137264005.

It is not a weakly prime, because it can be changed into another prime (137264053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68632016 + 68632017.

It is an arithmetic number, because the mean of its divisors is an integer number (68632017).

Almost surely, 2^137264033 is an apocalyptic number.

It is an amenable number.

137264033 is a deficient number, since it is larger than the sum of its proper divisors (1).

137264033 is an equidigital number, since it uses as much as digits as its factorization.

137264033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 137264033 is about 11715.9734123973. The cubic root of 137264033 is about 515.8446352856.

The spelling of 137264033 in words is "one hundred thirty-seven million, two hundred sixty-four thousand, thirty-three".