Search a number
-
+
137374301 is a prime number
BaseRepresentation
bin10000011000000…
…10101001011101
3100120111100010002
420030002221131
5240131434201
621344224045
73255443111
oct1014025135
9316440102
10137374301
11705a9389
123a00b025
13225cb18c
141435d741
15c0d876b
hex8302a5d

137374301 has 2 divisors, whose sum is σ = 137374302. Its totient is φ = 137374300.

The previous prime is 137374291. The next prime is 137374309. The reversal of 137374301 is 103473731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136282276 + 1092025 = 11674^2 + 1045^2 .

It is a cyclic number.

It is not a de Polignac number, because 137374301 - 222 = 133179997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137374309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68687150 + 68687151.

It is an arithmetic number, because the mean of its divisors is an integer number (68687151).

Almost surely, 2137374301 is an apocalyptic number.

It is an amenable number.

137374301 is a deficient number, since it is larger than the sum of its proper divisors (1).

137374301 is an equidigital number, since it uses as much as digits as its factorization.

137374301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 137374301 is about 11720.6783506758. The cubic root of 137374301 is about 515.9827290756.

The spelling of 137374301 in words is "one hundred thirty-seven million, three hundred seventy-four thousand, three hundred one".