Search a number
-
+
132768037 is a prime number
BaseRepresentation
bin1111110100111…
…10000100100101
3100020211022111201
413322132010211
5232442034122
621101402501
73201336553
oct772360445
9306738451
10132768037
1168a42656
1238569431
132167768c
14138c0bd3
15b9c8a27
hex7e9e125

132768037 has 2 divisors, whose sum is σ = 132768038. Its totient is φ = 132768036.

The previous prime is 132768019. The next prime is 132768043. The reversal of 132768037 is 730867231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132733441 + 34596 = 11521^2 + 186^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132768037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132767987 and 132768005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132768007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66384018 + 66384019.

It is an arithmetic number, because the mean of its divisors is an integer number (66384019).

Almost surely, 2132768037 is an apocalyptic number.

It is an amenable number.

132768037 is a deficient number, since it is larger than the sum of its proper divisors (1).

132768037 is an equidigital number, since it uses as much as digits as its factorization.

132768037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 132768037 is about 11522.5013343458. The cubic root of 132768037 is about 510.1499456575.

The spelling of 132768037 in words is "one hundred thirty-two million, seven hundred sixty-eight thousand, thirty-seven".