Search a number
-
+
137331289 is a prime number
BaseRepresentation
bin10000010111110…
…00001001011001
3100120102011010001
420023320021121
5240124100124
621343253001
73255203524
oct1013701131
9316364101
10137331289
117057a037
1239baa161
13225b4724
141434bbbb
15c0cab44
hex82f8259

137331289 has 2 divisors, whose sum is σ = 137331290. Its totient is φ = 137331288.

The previous prime is 137331251. The next prime is 137331301. The reversal of 137331289 is 982133731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80856064 + 56475225 = 8992^2 + 7515^2 .

It is a cyclic number.

It is not a de Polignac number, because 137331289 - 213 = 137323097 is a prime.

It is not a weakly prime, because it can be changed into another prime (137331989) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68665644 + 68665645.

It is an arithmetic number, because the mean of its divisors is an integer number (68665645).

Almost surely, 2137331289 is an apocalyptic number.

It is an amenable number.

137331289 is a deficient number, since it is larger than the sum of its proper divisors (1).

137331289 is an equidigital number, since it uses as much as digits as its factorization.

137331289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 27216, while the sum is 37.

The square root of 137331289 is about 11718.8433302950. The cubic root of 137331289 is about 515.9288719237.

The spelling of 137331289 in words is "one hundred thirty-seven million, three hundred thirty-one thousand, two hundred eighty-nine".