137612633 has 2 divisors, whose sum is σ = 137612634. Its totient is φ = 137612632.

The previous prime is 137612623. The next prime is 137612653. The reversal of 137612633 is 336216731.

137612633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120406729 + 17205904 = 10973^2 + 4148^2 .

It is a cyclic number.

It is not a de Polignac number, because 137612633 - 2⁴ = 137612617 is a prime.

It is a super-2 number, since 2×137612633² = 37874473522385378, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137612633.

It is not a weakly prime, because it can be changed into another prime (137612623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68806316 + 68806317.

It is an arithmetic number, because the mean of its divisors is an integer number (68806317).

Almost surely, 2^137612633 is an apocalyptic number.

It is an amenable number.

137612633 is a deficient number, since it is larger than the sum of its proper divisors (1).

137612633 is an equidigital number, since it uses as much as digits as its factorization.

137612633 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 137612633 is about 11730.8411036890. The cubic root of 137612633 is about 516.2809511506.

The spelling of 137612633 in words is "one hundred thirty-seven million, six hundred twelve thousand, six hundred thirty-three".