45137 has 2 divisors, whose sum is σ = 45138. Its totient is φ = 45136.

The previous prime is 45131. The next prime is 45139. The reversal of 45137 is 73154.

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., 30976 + 14161 = 176^2 + 119^2 .

It is a cyclic number.

It is not a de Polignac number, because 45137 - 2⁴ = 45121 is a prime.

Together with 45139, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45137.

It is not a weakly prime, because it can be changed into another prime (45131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22568 + 22569.

It is an arithmetic number, because the mean of its divisors is an integer number (22569).

2⁴⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

45137 is a deficient number, since it is larger than the sum of its proper divisors (1).

45137 is an equidigital number, since it uses as much as digits as its factorization.

45137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 420, while the sum is 20.

The square root of 45137 is about 212.4547010541. The cubic root of 45137 is about 35.6049923563.

The spelling of 45137 in words is "forty-five thousand, one hundred thirty-seven".