Search a number
-
+
137723653 is a prime number
BaseRepresentation
bin10000011010101…
…11111100000101
3100121011002100001
420031113330011
5240224124103
621355521301
73261426454
oct1015277405
9317132301
10137723653
1170817901
123a159231
13226c11b2
1414410b9b
15c15701d
hex8357f05

137723653 has 2 divisors, whose sum is σ = 137723654. Its totient is φ = 137723652.

The previous prime is 137723629. The next prime is 137723671. The reversal of 137723653 is 356327731.

137723653 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., 133471809 + 4251844 = 11553^2 + 2062^2 .

It is a cyclic number.

It is not a de Polignac number, because 137723653 - 221 = 135626501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137729653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68861826 + 68861827.

It is an arithmetic number, because the mean of its divisors is an integer number (68861827).

Almost surely, 2137723653 is an apocalyptic number.

It is an amenable number.

137723653 is a deficient number, since it is larger than the sum of its proper divisors (1).

137723653 is an equidigital number, since it uses as much as digits as its factorization.

137723653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 79380, while the sum is 37.

The square root of 137723653 is about 11735.5721206936. The cubic root of 137723653 is about 516.4197516446.

The spelling of 137723653 in words is "one hundred thirty-seven million, seven hundred twenty-three thousand, six hundred fifty-three".