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137147283 = 3371355819
BaseRepresentation
bin10000010110010…
…11001110010011
3100120001210201000
420023023032103
5240102203113
621335313043
73253506210
oct1013131623
9316053630
10137147283
1170463869
1239b1b783
132254ba50
1414300b07
15c091373
hex82cb393

137147283 has 32 divisors (see below), whose sum is σ = 250073600. Its totient is φ = 72340128.

The previous prime is 137147243. The next prime is 137147299. The reversal of 137147283 is 382741731.

137147283 is a `hidden beast` number, since 1 + 371 + 4 + 7 + 283 = 666.

It is not a de Polignac number, because 137147283 - 28 = 137147027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137147243) 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, 25453 + ... + 30366.

It is an arithmetic number, because the mean of its divisors is an integer number (7814800).

Almost surely, 2137147283 is an apocalyptic number.

137147283 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137147283 is a deficient number, since it is larger than the sum of its proper divisors (112926317).

137147283 is a wasteful number, since it uses less digits than its factorization.

137147283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55848 (or 55842 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 137147283 is about 11710.9898386089. The cubic root of 137147283 is about 515.6983431539.

The spelling of 137147283 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, two hundred eighty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 55819 167457 390733 502371 725647 1172199 1507113 2176941 3516597 5079529 6530823 10549791 15238587 19592469 45715761 137147283