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137278168 = 23233141587
BaseRepresentation
bin10000010111010…
…11001011011000
3100120022110020121
420023223023120
5240120400133
621342203024
73254562616
oct1013531330
9316273217
10137278168
1170543135
1239b83474
13225964b1
14143366b6
15c0ba02d
hex82eb2d8

137278168 has 64 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 61881600.

The previous prime is 137278147. The next prime is 137278171. The reversal of 137278168 is 861872731.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 233571 + ... + 234157.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2137278168 is an apocalyptic number.

It is an amenable number.

137278168 is an abundant number, since it is smaller than the sum of its proper divisors (147219752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137278168 is a wasteful number, since it uses less digits than its factorization.

137278168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its digits is 112896, while the sum is 43.

The square root of 137278168 is about 11716.5766331297. The cubic root of 137278168 is about 515.8623413409.

The spelling of 137278168 in words is "one hundred thirty-seven million, two hundred seventy-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 23 31 41 46 62 82 92 124 164 184 248 328 587 713 943 1174 1271 1426 1886 2348 2542 2852 3772 4696 5084 5704 7544 10168 13501 18197 24067 27002 29233 36394 48134 54004 58466 72788 96268 108008 116932 145576 192536 233864 418531 553541 746077 837062 1107082 1492154 1674124 2214164 2984308 3348248 4428328 5968616 17159771 34319542 68639084 137278168