Search a number
-
+
137640049 is a prime number
BaseRepresentation
bin10000011010000…
…11100001110001
3100120222211122121
420031003201301
5240213440144
621354034241
73260630641
oct1015034161
9316884577
10137640049
1170770008
123a118981
1322692121
14143cc521
15c13c384
hex8343871

137640049 has 2 divisors, whose sum is σ = 137640050. Its totient is φ = 137640048.

The previous prime is 137640029. The next prime is 137640053. The reversal of 137640049 is 940046731.

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., 137639824 + 225 = 11732^2 + 15^2 .

It is a cyclic number.

It is not a de Polignac number, because 137640049 - 27 = 137639921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137639996 and 137640023.

It is not a weakly prime, because it can be changed into another prime (137640029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68820024 + 68820025.

It is an arithmetic number, because the mean of its divisors is an integer number (68820025).

Almost surely, 2137640049 is an apocalyptic number.

It is an amenable number.

137640049 is a deficient number, since it is larger than the sum of its proper divisors (1).

137640049 is an equidigital number, since it uses as much as digits as its factorization.

137640049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 137640049 is about 11732.0095891539. The cubic root of 137640049 is about 516.3152343856.

The spelling of 137640049 in words is "one hundred thirty-seven million, six hundred forty thousand, forty-nine".