133782137 has 2 divisors, whose sum is σ = 133782138. Its totient is φ = 133782136.

The previous prime is 133782127. The next prime is 133782149. The reversal of 133782137 is 731287331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133148521 + 633616 = 11539^2 + 796^2 .

It is a cyclic number.

It is not a de Polignac number, because 133782137 - 2¹² = 133778041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133782097 and 133782106.

It is not a weakly prime, because it can be changed into another prime (133782127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66891068 + 66891069.

It is an arithmetic number, because the mean of its divisors is an integer number (66891069).

Almost surely, 2^133782137 is an apocalyptic number.

It is an amenable number.

133782137 is a deficient number, since it is larger than the sum of its proper divisors (1).

133782137 is an equidigital number, since it uses as much as digits as its factorization.

133782137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21168, while the sum is 35.

The square root of 133782137 is about 11566.4228264403. The cubic root of 133782137 is about 511.4455171272.

The spelling of 133782137 in words is "one hundred thirty-three million, seven hundred eighty-two thousand, one hundred thirty-seven".