Search a number
-
+
37138132541 is a prime number
BaseRepresentation
bin100010100101100110…
…101110111000111101
310112212012221121101102
4202211212232320331
51102024330220131
625021103022445
72453213626616
oct424546567075
9115765847342
1037138132541
1114828564724
12724559aa25
13366b1a3373
141b24480c0d
15e7562b1cb
hex8a59aee3d

37138132541 has 2 divisors, whose sum is σ = 37138132542. Its totient is φ = 37138132540.

The previous prime is 37138132517. The next prime is 37138132571. The reversal of 37138132541 is 14523183173.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25609600900 + 11528531641 = 160030^2 + 107371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-37138132541 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 37138132495 and 37138132504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37138132571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18569066270 + 18569066271.

It is an arithmetic number, because the mean of its divisors is an integer number (18569066271).

Almost surely, 237138132541 is an apocalyptic number.

It is an amenable number.

37138132541 is a deficient number, since it is larger than the sum of its proper divisors (1).

37138132541 is an equidigital number, since it uses as much as digits as its factorization.

37138132541 is an evil number, because the sum of its binary digits is even.

The product of its digits is 60480, while the sum is 38.

The spelling of 37138132541 in words is "thirty-seven billion, one hundred thirty-eight million, one hundred thirty-two thousand, five hundred forty-one".