45759137 has 2 divisors, whose sum is σ = 45759138. Its totient is φ = 45759136.

The previous prime is 45759127. The next prime is 45759143. The reversal of 45759137 is 73195754.

45759137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45104656 + 654481 = 6716^2 + 809^2 .

It is a cyclic number.

It is not a de Polignac number, because 45759137 - 2⁶ = 45759073 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 45759094 and 45759103.

It is not a weakly prime, because it can be changed into another prime (45759127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22879568 + 22879569.

It is an arithmetic number, because the mean of its divisors is an integer number (22879569).

Almost surely, 2^45759137 is an apocalyptic number.

It is an amenable number.

45759137 is a deficient number, since it is larger than the sum of its proper divisors (1).

45759137 is an equidigital number, since it uses as much as digits as its factorization.

45759137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 132300, while the sum is 41.

The square root of 45759137 is about 6764.5500219896. The cubic root of 45759137 is about 357.6783129246.

The spelling of 45759137 in words is "forty-five million, seven hundred fifty-nine thousand, one hundred thirty-seven".