137905633 has 2 divisors, whose sum is σ = 137905634. Its totient is φ = 137905632.

The previous prime is 137905613. The next prime is 137905637. The reversal of 137905633 is 336509731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115928289 + 21977344 = 10767^2 + 4688^2 .

It is an emirp because it is prime and its reverse (336509731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137905633 - 2²¹ = 135808481 is a prime.

It is a super-2 number, since 2×137905633² = 38035927226261378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137905592 and 137905601.

It is not a weakly prime, because it can be changed into another prime (137905637) 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, 68952816 + 68952817.

It is an arithmetic number, because the mean of its divisors is an integer number (68952817).

Almost surely, 2^137905633 is an apocalyptic number.

It is an amenable number.

137905633 is a deficient number, since it is larger than the sum of its proper divisors (1).

137905633 is an equidigital number, since it uses as much as digits as its factorization.

137905633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 37.

The square root of 137905633 is about 11743.3229113399. The cubic root of 137905633 is about 516.6471071795.

The spelling of 137905633 in words is "one hundred thirty-seven million, nine hundred five thousand, six hundred thirty-three".