Search a number
-
+
137141525277 = 33291061165079
BaseRepresentation
bin111111110111001000…
…1011001101100011101
3111002222121222022121000
41333232101121230131
54221331212302102
6143000230500513
712623331505521
oct1775621315435
9432877868530
10137141525277
11531858a7839
12226b4504739
13cc17600133
1468cdb45d81
153879cd601c
hex1fee459b1d

137141525277 has 32 divisors (see below), whose sum is σ = 210377952000. Its totient is φ = 88191270720.

The previous prime is 137141525251. The next prime is 137141525293. The reversal of 137141525277 is 772525141731.

137141525277 is a `hidden beast` number, since 1 + 3 + 71 + 4 + 1 + 52 + 527 + 7 = 666.

It is not a de Polignac number, because 137141525277 - 210 = 137141524253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137141525237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 748224 + ... + 913302.

It is an arithmetic number, because the mean of its divisors is an integer number (6574311000).

Almost surely, 2137141525277 is an apocalyptic number.

It is an amenable number.

137141525277 is a deficient number, since it is larger than the sum of its proper divisors (73236426723).

137141525277 is a wasteful number, since it uses less digits than its factorization.

137141525277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166178 (or 166172 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The spelling of 137141525277 in words is "one hundred thirty-seven billion, one hundred forty-one million, five hundred twenty-five thousand, two hundred seventy-seven".

Divisors: 1 3 9 27 29 87 261 783 1061 3183 9549 28647 30769 92307 165079 276921 495237 830763 1485711 4457133 4787291 14361873 43085619 129256857 175148819 525446457 1576339371 4729018113 5079315751 15237947253 45713841759 137141525277