Search a number
-
+
137557161 = 32722711151
BaseRepresentation
bin10000011001011…
…11010010101001
3100120211121221200
420030233102221
5240203312121
621352154413
73260134200
oct1014572251
9316747850
10137557161
1170713805
123a098a09
1322663491
14143aa237
15c122a26
hex832f4a9

137557161 has 36 divisors (see below), whose sum is σ = 232187904. Its totient is φ = 78246000.

The previous prime is 137557151. The next prime is 137557171. The reversal of 137557161 is 161755731.

137557161 is a `hidden beast` number, since 13 + 75 + 571 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (137557151) and next prime (137557171).

It is not a de Polignac number, because 137557161 - 217 = 137426089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137557151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 118936 + ... + 120086.

It is an arithmetic number, because the mean of its divisors is an integer number (6449664).

Almost surely, 2137557161 is an apocalyptic number.

It is an amenable number.

137557161 is a deficient number, since it is larger than the sum of its proper divisors (94630743).

137557161 is a wasteful number, since it uses less digits than its factorization.

137557161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1432 counting only the distinct ones).

The product of its digits is 22050, while the sum is 36.

The square root of 137557161 is about 11728.4764995288. The cubic root of 137557161 is about 516.2115704421.

The spelling of 137557161 in words is "one hundred thirty-seven million, five hundred fifty-seven thousand, one hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 271 441 813 1151 1897 2439 3453 5691 8057 10359 13279 17073 24171 39837 56399 72513 119511 169197 311921 507591 935763 2183447 2807289 6550341 15284129 19651023 45852387 137557161