Search a number
-
+
137340909 = 32174771269
BaseRepresentation
bin10000010111110…
…10011111101101
3100120102122022100
420023322133231
5240124402114
621343405313
73255243546
oct1013723755
9316378270
10137340909
1170586292
1239bb3839
13225b8c14
14143514cd
15c0cd909
hex82fa7ed

137340909 has 48 divisors (see below), whose sum is σ = 218350080. Its totient is φ = 82844160.

The previous prime is 137340901. The next prime is 137340941. The reversal of 137340909 is 909043731.

It is not a de Polignac number, because 137340909 - 23 = 137340901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137340901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510427 + ... + 510695.

It is an arithmetic number, because the mean of its divisors is an integer number (4548960).

Almost surely, 2137340909 is an apocalyptic number.

It is an amenable number.

137340909 is a deficient number, since it is larger than the sum of its proper divisors (81009171).

137340909 is a wasteful number, since it uses less digits than its factorization.

137340909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 137340909 is about 11719.2537731717. The cubic root of 137340909 is about 515.9409185104.

The spelling of 137340909 in words is "one hundred thirty-seven million, three hundred forty thousand, nine hundred nine".

Divisors: 1 3 9 17 47 51 71 141 153 213 269 423 639 799 807 1207 2397 2421 3337 3621 4573 7191 10011 10863 12643 13719 19099 30033 37929 41157 56729 57297 113787 170187 171891 214931 324683 510561 644793 897653 974049 1934379 2692959 2922147 8078877 15260101 45780303 137340909