137164000033 has 2 divisors, whose sum is σ = 137164000034. Its totient is φ = 137164000032.

The previous prime is 137164000021. The next prime is 137164000049. The reversal of 137164000033 is 330000461731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79069503249 + 58094496784 = 281193^2 + 241028^2 .

It is an emirp because it is prime and its reverse (330000461731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137164000033 - 2³³ = 128574065441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137163999965 and 137164000010.

It is not a weakly prime, because it can be changed into another prime (137164000003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68582000016 + 68582000017.

It is an arithmetic number, because the mean of its divisors is an integer number (68582000017).

Almost surely, 2^137164000033 is an apocalyptic number.

It is an amenable number.

137164000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

137164000033 is an equidigital number, since it uses as much as digits as its factorization.

137164000033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 137164000033 its reverse (330000461731), we get a palindrome (467164461764).

The spelling of 137164000033 in words is "one hundred thirty-seven billion, one hundred sixty-four million, thirty-three", and thus it is an aban number.