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137055009 = 3721371719
BaseRepresentation
bin10000010101101…
…00101100100001
3100112220010010110
420022310230201
5240041230014
621333321533
73252643200
oct1012645441
9315803113
10137055009
1170400503
1239a962a9
1322518a50
14142b9237
15c073d59
hex82b4b21

137055009 has 24 divisors (see below), whose sum is σ = 228930240. Its totient is φ = 72291744.

The previous prime is 137055007. The next prime is 137055019. The reversal of 137055009 is 900550731.

It is a happy number.

It is not a de Polignac number, because 137055009 - 21 = 137055007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137055001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33949 + ... + 37770.

It is an arithmetic number, because the mean of its divisors is an integer number (9538760).

Almost surely, 2137055009 is an apocalyptic number.

It is an amenable number.

137055009 is a deficient number, since it is larger than the sum of its proper divisors (91875231).

137055009 is a wasteful number, since it uses less digits than its factorization.

137055009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71749 (or 71742 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 137055009 is about 11707.0495429036. The cubic root of 137055009 is about 515.5826616182.

The spelling of 137055009 in words is "one hundred thirty-seven million, fifty-five thousand, nine".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1911 71719 215157 502033 932347 1506099 2797041 3514231 6526429 10542693 19579287 45685003 137055009