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137760317 = 19232391319
BaseRepresentation
bin10000011011000…
…00111000111101
3100121012221121222
420031200320331
5240231312232
621400403125
73261641402
oct1015407075
9317187558
10137760317
1170842402
123a1764a5
1322704aa6
14144202a9
15c162d12
hex8360e3d

137760317 has 16 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 124218864.

The previous prime is 137760313. The next prime is 137760323. The reversal of 137760317 is 713067731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137760317 - 22 = 137760313 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137760313) 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 15 ways as a sum of consecutive naturals, for example, 103784 + ... + 105102.

It is an arithmetic number, because the mean of its divisors is an integer number (9504000).

Almost surely, 2137760317 is an apocalyptic number.

It is an amenable number.

137760317 is a deficient number, since it is larger than the sum of its proper divisors (14303683).

137760317 is a wasteful number, since it uses less digits than its factorization.

137760317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600.

The product of its (nonzero) digits is 18522, while the sum is 35.

The square root of 137760317 is about 11737.1341050531. The cubic root of 137760317 is about 516.4655736789.

The spelling of 137760317 in words is "one hundred thirty-seven million, seven hundred sixty thousand, three hundred seventeen".

Divisors: 1 19 23 239 437 1319 4541 5497 25061 30337 104443 315241 576403 5989579 7250543 137760317