Search a number
-
+
137454781 is a prime number
BaseRepresentation
bin10000011000101…
…10010010111101
3100120122102111211
420030112102331
5240142023111
621350044421
73256226542
oct1014262275
9316572454
10137454781
11706538a2
123a049711
13226289b9
1414380bc9
15c102521
hex83164bd

137454781 has 2 divisors, whose sum is σ = 137454782. Its totient is φ = 137454780.

The previous prime is 137454769. The next prime is 137454787. The reversal of 137454781 is 187454731.

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., 93431556 + 44023225 = 9666^2 + 6635^2 .

It is a cyclic number.

It is not a de Polignac number, because 137454781 - 29 = 137454269 is a prime.

It is a super-2 number, since 2×1374547812 = 37787633639515922, which contains 22 as substring.

It is a Chen prime.

It is equal to p7776490 and since 137454781 and 7776490 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137454787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68727390 + 68727391.

It is an arithmetic number, because the mean of its divisors is an integer number (68727391).

Almost surely, 2137454781 is an apocalyptic number.

It is an amenable number.

137454781 is a deficient number, since it is larger than the sum of its proper divisors (1).

137454781 is an equidigital number, since it uses as much as digits as its factorization.

137454781 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 94080, while the sum is 40.

The square root of 137454781 is about 11724.1110963689. Note that the first 3 decimals coincide. The cubic root of 137454781 is about 516.0834713131.

The spelling of 137454781 in words is "one hundred thirty-seven million, four hundred fifty-four thousand, seven hundred eighty-one".