Search a number
-
+
135616381 is a prime number
BaseRepresentation
bin10000001010101…
…01011101111101
3100110012000200221
420011111131331
5234204211011
621242421341
73234502015
oct1005253575
9313160627
10135616381
116a60865a
1239501851
1322133ca4
1414022c45
15bd8c971
hex815577d

135616381 has 2 divisors, whose sum is σ = 135616382. Its totient is φ = 135616380.

The previous prime is 135616301. The next prime is 135616399. The reversal of 135616381 is 183616531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110965156 + 24651225 = 10534^2 + 4965^2 .

It is a cyclic number.

It is not a de Polignac number, because 135616381 - 27 = 135616253 is a prime.

It is a super-2 number, since 2×1356163812 = 36783605591074322, which contains 22 as substring.

It is equal to p7678303 and since 135616381 and 7678303 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 (135616301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67808190 + 67808191.

It is an arithmetic number, because the mean of its divisors is an integer number (67808191).

Almost surely, 2135616381 is an apocalyptic number.

It is an amenable number.

135616381 is a deficient number, since it is larger than the sum of its proper divisors (1).

135616381 is an equidigital number, since it uses as much as digits as its factorization.

135616381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 135616381 is about 11645.4446458690. Note that the first 3 decimals coincide. The cubic root of 135616381 is about 513.7723370645.

The spelling of 135616381 in words is "one hundred thirty-five million, six hundred sixteen thousand, three hundred eighty-one".