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137431353 = 3617271033
BaseRepresentation
bin10000011000100…
…00100100111001
3100120121020101010
420030100210321
5240140300403
621345344133
73256101333
oct1014204471
9316536333
10137431353
1170638234
123a038049
132261b137
1414376453
15c0ea603
hex8310939

137431353 has 16 divisors (see below), whose sum is σ = 186682496. Its totient is φ = 89907840.

The previous prime is 137431297. The next prime is 137431379. The reversal of 137431353 is 353134731.

It is not a de Polignac number, because 137431353 - 26 = 137431289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137431353.

It is not an unprimeable number, because it can be changed into a prime (137431253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132525 + ... + 133557.

It is an arithmetic number, because the mean of its divisors is an integer number (11667656).

Almost surely, 2137431353 is an apocalyptic number.

It is an amenable number.

137431353 is a deficient number, since it is larger than the sum of its proper divisors (49251143).

137431353 is a wasteful number, since it uses less digits than its factorization.

137431353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824.

The product of its digits is 11340, while the sum is 30.

The square root of 137431353 is about 11723.1119162106. Note that the first 3 decimals coincide. The cubic root of 137431353 is about 516.0541489656.

The spelling of 137431353 in words is "one hundred thirty-seven million, four hundred thirty-one thousand, three hundred fifty-three".

Divisors: 1 3 61 183 727 1033 2181 3099 44347 63013 133041 189039 750991 2252973 45810451 137431353