137153633 has 2 divisors, whose sum is σ = 137153634. Its totient is φ = 137153632.

The previous prime is 137153591. The next prime is 137153659. The reversal of 137153633 is 336351731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125708944 + 11444689 = 11212^2 + 3383^2 .

It is an emirp because it is prime and its reverse (336351731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137153633 - 2⁸ = 137153377 is a prime.

It is a super-2 number, since 2×137153633² = 37622238090197378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137153633.

It is not a weakly prime, because it can be changed into another prime (137153683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68576816 + 68576817.

It is an arithmetic number, because the mean of its divisors is an integer number (68576817).

Almost surely, 2^137153633 is an apocalyptic number.

It is an amenable number.

137153633 is a deficient number, since it is larger than the sum of its proper divisors (1).

137153633 is an equidigital number, since it uses as much as digits as its factorization.

137153633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17010, while the sum is 32.

The square root of 137153633 is about 11711.2609483352. The cubic root of 137153633 is about 515.7063020767.

The spelling of 137153633 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, six hundred thirty-three".