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135684037 is a prime number
BaseRepresentation
bin10000001011001…
…01111111000101
3100110022110111201
420011211333011
5234213342122
621244102501
73235203166
oct1005457705
9313273451
10135684037
116a654475
1239534a31
1322158a18
141403d76d
15bda2a27
hex8165fc5

135684037 has 2 divisors, whose sum is σ = 135684038. Its totient is φ = 135684036.

The previous prime is 135684023. The next prime is 135684041. The reversal of 135684037 is 730486531.

135684037 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., 104837121 + 30846916 = 10239^2 + 5554^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-135684037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135683987 and 135684005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135684077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67842018 + 67842019.

It is an arithmetic number, because the mean of its divisors is an integer number (67842019).

Almost surely, 2135684037 is an apocalyptic number.

It is an amenable number.

135684037 is a deficient number, since it is larger than the sum of its proper divisors (1).

135684037 is an equidigital number, since it uses as much as digits as its factorization.

135684037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 135684037 is about 11648.3491104963. The cubic root of 135684037 is about 513.8577593965.

The spelling of 135684037 in words is "one hundred thirty-five million, six hundred eighty-four thousand, thirty-seven".