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137386949 = 729732127
BaseRepresentation
bin10000011000001…
…01101111000101
3100120111222110112
420030011233011
5240132340244
621344402405
73255525020
oct1014055705
9316458415
10137386949
1170607937
123a016405
1322603b6b
14143641b7
15c0dc39e
hex8305bc5

137386949 has 24 divisors (see below), whose sum is σ = 165980160. Its totient is φ = 111259008.

The previous prime is 137386943. The next prime is 137386993. The reversal of 137386949 is 949683731.

It is not a de Polignac number, because 137386949 - 24 = 137386933 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 137386897 and 137386906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137386943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081724 + ... + 1081850.

It is an arithmetic number, because the mean of its divisors is an integer number (6915840).

Almost surely, 2137386949 is an apocalyptic number.

It is an amenable number.

137386949 is a deficient number, since it is larger than the sum of its proper divisors (28593211).

137386949 is an equidigital number, since it uses as much as digits as its factorization.

137386949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 236 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The square root of 137386949 is about 11721.2178974712. The cubic root of 137386949 is about 515.9985640346.

The spelling of 137386949 in words is "one hundred thirty-seven million, three hundred eighty-six thousand, nine hundred forty-nine".

Divisors: 1 7 29 73 127 203 511 889 2117 3683 5329 9271 14819 25781 37303 64897 154541 268859 676783 1081787 1882013 4737481 19626707 137386949