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45737137 is a prime number
BaseRepresentation
bin1010111001111…
…0010010110001
310012001200120001
42232132102301
543202042022
64312150001
71063521265
oct256362261
9105050501
1045737137
11238a9a96
1213398301
139624cc4
1461080a5
154036b27
hex2b9e4b1

45737137 has 2 divisors, whose sum is σ = 45737138. Its totient is φ = 45737136.

The previous prime is 45737119. The next prime is 45737171. The reversal of 45737137 is 73173754.

45737137 is nontrivially palindromic in base 9.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28398241 + 17338896 = 5329^2 + 4164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45737137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45737096 and 45737105.

It is not a weakly prime, because it can be changed into another prime (45737177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22868568 + 22868569.

It is an arithmetic number, because the mean of its divisors is an integer number (22868569).

Almost surely, 245737137 is an apocalyptic number.

It is an amenable number.

45737137 is a deficient number, since it is larger than the sum of its proper divisors (1).

45737137 is an equidigital number, since it uses as much as digits as its factorization.

45737137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 61740, while the sum is 37.

The square root of 45737137 is about 6762.9237020685. The cubic root of 45737137 is about 357.6209824124.

The spelling of 45737137 in words is "forty-five million, seven hundred thirty-seven thousand, one hundred thirty-seven".