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137377119 = 31117713449
BaseRepresentation
bin10000011000000…
…11010101011111
3100120111110222110
420030003111133
5240132031434
621344245103
73255454245
oct1014032537
9316443873
10137377119
1170600510
123a010793
13225cc549
1414360795
15c0d94e9
hex830355f

137377119 has 32 divisors (see below), whose sum is σ = 214617600. Its totient is φ = 77235200.

The previous prime is 137377081. The next prime is 137377127. The reversal of 137377119 is 911773731.

It is a cyclic number.

It is not a de Polignac number, because 137377119 - 27 = 137376991 is a prime.

It is a super-2 number, since 2×1373771192 = 37744945649480322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137377139) 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 31 ways as a sum of consecutive naturals, for example, 38107 + ... + 41555.

It is an arithmetic number, because the mean of its divisors is an integer number (6706800).

Almost surely, 2137377119 is an apocalyptic number.

137377119 is a deficient number, since it is larger than the sum of its proper divisors (77240481).

137377119 is a wasteful number, since it uses less digits than its factorization.

137377119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551.

The product of its digits is 27783, while the sum is 39.

The square root of 137377119 is about 11720.7985649443. The cubic root of 137377119 is about 515.9862572207.

The spelling of 137377119 in words is "one hundred thirty-seven million, three hundred seventy-seven thousand, one hundred nineteen".

Divisors: 1 3 11 17 33 51 71 187 213 561 781 1207 2343 3449 3621 10347 13277 37939 39831 58633 113817 175899 244879 644963 734637 1934889 2693669 4162943 8081007 12488829 45792373 137377119