Search a number
-
+
135781537 is a prime number
BaseRepresentation
bin10000001011111…
…01110010100001
3100110111102020211
420011331302201
5234230002122
621250134121
73236060353
oct1005756241
9313442224
10135781537
116a710751
1239581341
1322191208
14140670d3
15bdc1877
hex817dca1

135781537 has 2 divisors, whose sum is σ = 135781538. Its totient is φ = 135781536.

The previous prime is 135781531. The next prime is 135781549. The reversal of 135781537 is 735187531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103245921 + 32535616 = 10161^2 + 5704^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135781537 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135781537.

It is not a weakly prime, because it can be changed into another prime (135781531) 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, 67890768 + 67890769.

It is an arithmetic number, because the mean of its divisors is an integer number (67890769).

Almost surely, 2135781537 is an apocalyptic number.

It is an amenable number.

135781537 is a deficient number, since it is larger than the sum of its proper divisors (1).

135781537 is an equidigital number, since it uses as much as digits as its factorization.

135781537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 88200, while the sum is 40.

The square root of 135781537 is about 11652.5335013464. The cubic root of 135781537 is about 513.9808127707.

The spelling of 135781537 in words is "one hundred thirty-five million, seven hundred eighty-one thousand, five hundred thirty-seven".